/usr/share/acl2-6.3/books/str/base64.cert is in acl2-books-certs 6.3-5.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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"ACL2 Version 6.3"
:BEGIN-PORTCULLIS-CMDS
(INCLUDE-BOOK "portcullis")
(INCLUDE-BOOK "cutil/portcullis" :DIR :SYSTEM)
(DEFPKG "U" (UNION-EQ *ACL2-EXPORTS* *COMMON-LISP-SYMBOLS-FROM-MAIN-LISP-PACKAGE*) NIL ((:SYSTEM . "ihs/ihs-init.lisp") (:SYSTEM . "ihs/math-lemmas.lisp") (:SYSTEM . "ihs/ihs-lemmas.lisp") (:SYSTEM . "defsort/generic-impl.lisp") (:SYSTEM . "defsort/generic.lisp") (:SYSTEM . "defsort/defsort.lisp") (:SYSTEM . "str/isort.lisp") (:SYSTEM . "str/top.lisp") (:SYSTEM . "str/defs.lisp") (:SYSTEM . "xdoc/names.lisp") (:SYSTEM . "cutil/defaggregate.lisp") (:SYSTEM . "cutil/wizard.lisp") (:SYSTEM . "centaur/bitops/equal-by-logbitp.lisp")) T)
:END-PORTCULLIS-CMDS
:EXPANSION-ALIST
((6 RECORD-EXPANSION (DEFSECTION STR::BASE64 :PARENTS (STR) :SHORT "Routines for Base 64 string encoding/decoding." :LONG "<p>We implement ACL2 functions for Base 64 encoding and decoding as
described in <a href='http://www.ietf.org/rfc/rfc4648.txt'>RFC 4648</a>.</p>
<p>Our functions are quite efficient, given the constraints of ACL2 string
processing. We prove the following inversion theorem, which shows that if
encode some text and then try to decode it, then (1) decoding succeeds and (2)
we get the original text back.</p>
@(thm base64-decode-of-base64-encode)
<p>Of course, this theorem does not say anything about whether we have encoded
or decoded the text \"correctly\" as described in RFC 4648. After all, if we
simply used the identity function as our encoder and decoder, the above theorem
would still hold.</p>
<p>However, to the degree possible, our encoder/decoder are intended to
implement Base64 encoding as described by RFC 4648. We do not implement
variants of base64 encoding such as \"base64 URL encoding\" and \"base64 MIME
encoding.\" Some particular details of our implementation:</p>
<ul>
<li>Per Section 3.1, our encoder does not add line breaks.</li>
<li>Per Section 3.2, our encoder adds appropriate padding characters.</li>
<li>Per Section 3.3, our decoder rejects data with non-alphabet
characters.</li>
<li>Per Section 3.5, our encoder sets the pad bits to zero.</li>
<li>We use the Base64 alphabet described in Table 1. We do not use the \"URL
and Filename safe\" Base64 alphabet.</li>
</ul>
<p>We have not attempted to prove the \"other\" inversion property, i.e., if we
start with some encoded text, decode it, and re-encode the result, then we
should get back our initial, encoded text. This is probably not currently
true. To prove it, we would need to change the decoder to reject inputs where
the pad bits are nonzero. Implementations \"may\" choose to implement this
check according to Section 3.5, and in principle it would be a nice
enhancement.</p>") (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64)) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::BASE64)) (XDOC::PARENTS (QUOTE (STR))) (XDOC::SHORT (QUOTE "Routines for Base 64 string encoding/decoding.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>We implement ACL2 functions for Base 64 encoding and decoding as
described in <a href='http://www.ietf.org/rfc/rfc4648.txt'>RFC 4648</a>.</p>
<p>Our functions are quite efficient, given the constraints of ACL2 string
processing. We prove the following inversion theorem, which shows that if
encode some text and then try to decode it, then (1) decoding succeeds and (2)
we get the original text back.</p>
@(thm base64-decode-of-base64-encode)
<p>Of course, this theorem does not say anything about whether we have encoded
or decoded the text \"correctly\" as described in RFC 4648. After all, if we
simply used the identity function as our encoder and decoder, the above theorem
would still hold.</p>
<p>However, to the degree possible, our encoder/decoder are intended to
implement Base64 encoding as described by RFC 4648. We do not implement
variants of base64 encoding such as \"base64 URL encoding\" and \"base64 MIME
encoding.\" Some particular details of our implementation:</p>
<ul>
<li>Per Section 3.1, our encoder does not add line breaks.</li>
<li>Per Section 3.2, our encoder adds appropriate padding characters.</li>
<li>Per Section 3.3, our decoder rejects data with non-alphabet
characters.</li>
<li>Per Section 3.5, our encoder sets the pad bits to zero.</li>
<li>We use the Base64 alphabet described in Table 1. We do not use the \"URL
and Filename safe\" Base64 alphabet.</li>
</ul>
<p>We have not attempted to prove the \"other\" inversion property, i.e., if we
start with some encoded text, decode it, and re-encode the result, then we
should get back our initial, encoded text. This is probably not currently
true. To prove it, we would need to change the decoder to reject inputs where
the pad bits are nonzero. Implementations \"may\" choose to implement this
check according to Section 3.5, and in principle it would be a nice
enhancement.</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::BASE64) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR) (:SHORT . "Routines for Base 64 string encoding/decoding.") (:LONG . "<p>We implement ACL2 functions for Base 64 encoding and decoding as
described in <a href='http://www.ietf.org/rfc/rfc4648.txt'>RFC 4648</a>.</p>
<p>Our functions are quite efficient, given the constraints of ACL2 string
processing. We prove the following inversion theorem, which shows that if
encode some text and then try to decode it, then (1) decoding succeeds and (2)
we get the original text back.</p>
@(thm base64-decode-of-base64-encode)
<p>Of course, this theorem does not say anything about whether we have encoded
or decoded the text \"correctly\" as described in RFC 4648. After all, if we
simply used the identity function as our encoder and decoder, the above theorem
would still hold.</p>
<p>However, to the degree possible, our encoder/decoder are intended to
implement Base64 encoding as described by RFC 4648. We do not implement
variants of base64 encoding such as \"base64 URL encoding\" and \"base64 MIME
encoding.\" Some particular details of our implementation:</p>
<ul>
<li>Per Section 3.1, our encoder does not add line breaks.</li>
<li>Per Section 3.2, our encoder adds appropriate padding characters.</li>
<li>Per Section 3.3, our decoder rejects data with non-alphabet
characters.</li>
<li>Per Section 3.5, our encoder sets the pad bits to zero.</li>
<li>We use the Base64 alphabet described in Table 1. We do not use the \"URL
and Filename safe\" Base64 alphabet.</li>
</ul>
<p>We have not attempted to prove the \"other\" inversion property, i.e., if we
start with some encoded text, decode it, and re-encode the result, then we
should get back our initial, encoded text. This is probably not currently
true. To prove it, we would need to change the decoder to reject inputs where
the pad bits are nonzero. Implementations \"may\" choose to implement this
check according to Section 3.5, and in principle it would be a nice
enhancement.</p>
") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::BASE64)))))) (VALUE-TRIPLE (QUOTE STR::BASE64))))) (7 RECORD-EXPANSION (DEFSECTION STR::BASE64-IMPL :PARENTS (STR::BASE64) :SHORT "Implementation details of @(see base64) encoding/decoding." :LONG "<p>These routines should generally not be used directly, and may be
changed in future versions of the library.</p>
<p>Here are some naming conventions used throughout these functions:</p>
<ul>
<li><b>chars</b> refer to actual @(see characters), which typically will be in
the Base64 alphabet, i.e., @('A-Z'), @('a-z'), @('0-9'), @('+'), and @('/').
Of course, when decoding, data might be coming from some external source; it
might contain pad characters @('=') or even arbitrary, invalid characters from
beyond the Base64 alphabet.</li>
<li><b>codes</b> refer to actual @(see char-code)s, with the usual
correspondence to <i>chars</i>.</li>
<li><b>values</b> refer to the interpretation of each Base64 character as a
numeric value. For instance, the value of @('#A') is 0; the value of @('#B')
is 1, and so on. In our representation, the values are exactly the 64 natural
numbers from 0-63, and can be recognized with, e.g., @('(unsigned-byte-p 6
val)').</li>
<li><b>bytes</b> refer to ordinary 8-bit bytes, which typically will be part of
the original, un-encoded data.</li>
</ul>") (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-IMPL)) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::BASE64-IMPL)) (XDOC::PARENTS (QUOTE (STR::BASE64))) (XDOC::SHORT (QUOTE "Implementation details of @(see base64) encoding/decoding.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-IMPL))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>These routines should generally not be used directly, and may be
changed in future versions of the library.</p>
<p>Here are some naming conventions used throughout these functions:</p>
<ul>
<li><b>chars</b> refer to actual @(see characters), which typically will be in
the Base64 alphabet, i.e., @('A-Z'), @('a-z'), @('0-9'), @('+'), and @('/').
Of course, when decoding, data might be coming from some external source; it
might contain pad characters @('=') or even arbitrary, invalid characters from
beyond the Base64 alphabet.</li>
<li><b>codes</b> refer to actual @(see char-code)s, with the usual
correspondence to <i>chars</i>.</li>
<li><b>values</b> refer to the interpretation of each Base64 character as a
numeric value. For instance, the value of @('#A') is 0; the value of @('#B')
is 1, and so on. In our representation, the values are exactly the 64 natural
numbers from 0-63, and can be recognized with, e.g., @('(unsigned-byte-p 6
val)').</li>
<li><b>bytes</b> refer to ordinary 8-bit bytes, which typically will be part of
the original, un-encoded data.</li>
</ul>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::BASE64-IMPL) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64) (:SHORT . "Implementation details of @(see base64) encoding/decoding.") (:LONG . "<p>These routines should generally not be used directly, and may be
changed in future versions of the library.</p>
<p>Here are some naming conventions used throughout these functions:</p>
<ul>
<li><b>chars</b> refer to actual @(see characters), which typically will be in
the Base64 alphabet, i.e., @('A-Z'), @('a-z'), @('0-9'), @('+'), and @('/').
Of course, when decoding, data might be coming from some external source; it
might contain pad characters @('=') or even arbitrary, invalid characters from
beyond the Base64 alphabet.</li>
<li><b>codes</b> refer to actual @(see char-code)s, with the usual
correspondence to <i>chars</i>.</li>
<li><b>values</b> refer to the interpretation of each Base64 character as a
numeric value. For instance, the value of @('#A') is 0; the value of @('#B')
is 1, and so on. In our representation, the values are exactly the 64 natural
numbers from 0-63, and can be recognized with, e.g., @('(unsigned-byte-p 6
val)').</li>
<li><b>bytes</b> refer to ordinary 8-bit bytes, which typically will be part of
the original, un-encoded data.</li>
</ul>
") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::BASE64-IMPL)))))) (VALUE-TRIPLE (QUOTE STR::BASE64-IMPL))))) (8 RECORD-EXPANSION (DEFINE STR::CHAR-CODE-LIST ((X CHARACTER-LISTP)) (IF (ATOM X) NIL (CONS (CHAR-CODE (CAR X)) (STR::CHAR-CODE-LIST (CDR X))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::CHAR-CODE-LIST (DEFUND STR::CHAR-CODE-LIST (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (LET ((__FUNCTION__ (QUOTE STR::CHAR-CODE-LIST))) (DECLARE (IGNORABLE __FUNCTION__)) (IF (ATOM X) NIL (CONS (CHAR-CODE (CAR X)) (STR::CHAR-CODE-LIST (CDR X)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::CHAR-CODE-LIST :FN (QUOTE STR::CHAR-CODE-LIST) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::CHAR-CODE-LIST) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::CHAR-CODE-LIST))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::CHAR-CODE-LIST) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::CHAR-CODE-LIST (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (LET ((__FUNCTION__ (QUOTE STR::CHAR-CODE-LIST))) (DECLARE (IGNORABLE __FUNCTION__)) (IF (ATOM X) NIL (CONS (CHAR-CODE (CAR X)) (STR::CHAR-CODE-LIST (CDR X)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::CHAR-CODE-LIST :FN (QUOTE STR::CHAR-CODE-LIST) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::CHAR-CODE-LIST) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::CHAR-CODE-LIST))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::CHAR-CODE-LIST) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::CHAR-CODE-LIST (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (LET ((__FUNCTION__ (QUOTE STR::CHAR-CODE-LIST))) (DECLARE (IGNORABLE __FUNCTION__)) (IF (ATOM X) NIL (CONS (CHAR-CODE (CAR X)) (STR::CHAR-CODE-LIST (CDR X)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::CHAR-CODE-LIST :FN (QUOTE STR::CHAR-CODE-LIST) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::CHAR-CODE-LIST) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::CHAR-CODE-LIST))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::CHAR-CODE-LIST) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN)))))))) (VALUE-TRIPLE :INVISIBLE))) (15 RECORD-EXPANSION (DEFSECTION STR::*B64-CHARS-FROM-VALS-ARRAY* :PARENTS (STR::B64-CHAR-FROM-VALUE) :SHORT "Array mapping each value to its associated character." :LONG "<p>This array is the main lookup table used for encoding. It
corresponds to Table 1 from RFC 4648.</p>
@(def *b64-chars-from-vals-alist*)
@(def *b64-chars-from-vals-array*)" (DEFCONST STR::*B64-CHARS-FROM-VALS-ALIST* (QUOTE ((0 . #\A) (1 . #\B) (2 . #\C) (3 . #\D) (4 . #\E) (5 . #\F) (6 . #\G) (7 . #\H) (8 . #\I) (9 . #\J) (10 . #\K) (11 . #\L) (12 . #\M) (13 . #\N) (14 . #\O) (15 . #\P) (16 . #\Q) (17 . #\R) (18 . #\S) (19 . #\T) (20 . #\U) (21 . #\V) (22 . #\W) (23 . #\X) (24 . #\Y) (25 . #\Z) (26 . #\a) (27 . #\b) (28 . #\c) (29 . #\d) (30 . #\e) (31 . #\f) (32 . #\g) (33 . #\h) (34 . #\i) (35 . #\j) (36 . #\k) (37 . #\l) (38 . #\m) (39 . #\n) (40 . #\o) (41 . #\p) (42 . #\q) (43 . #\r) (44 . #\s) (45 . #\t) (46 . #\u) (47 . #\v) (48 . #\w) (49 . #\x) (50 . #\y) (51 . #\z) (52 . #\0) (53 . #\1) (54 . #\2) (55 . #\3) (56 . #\4) (57 . #\5) (58 . #\6) (59 . #\7) (60 . #\8) (61 . #\9) (62 . #\+) (63 . #\/)))) (DEFCONST STR::*B64-CHARS-FROM-VALS-ARRAY* (COMPRESS1 (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*) (CONS (LIST :HEADER :DIMENSIONS (LIST 64) :MAXIMUM-LENGTH 65 :DEFAULT #\0 :NAME (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*)) STR::*B64-CHARS-FROM-VALS-ALIST*)))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*)) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFCONST STR::*B64-CHARS-FROM-VALS-ALIST* (QUOTE ((0 . #\A) (1 . #\B) (2 . #\C) (3 . #\D) (4 . #\E) (5 . #\F) (6 . #\G) (7 . #\H) (8 . #\I) (9 . #\J) (10 . #\K) (11 . #\L) (12 . #\M) (13 . #\N) (14 . #\O) (15 . #\P) (16 . #\Q) (17 . #\R) (18 . #\S) (19 . #\T) (20 . #\U) (21 . #\V) (22 . #\W) (23 . #\X) (24 . #\Y) (25 . #\Z) (26 . #\a) (27 . #\b) (28 . #\c) (29 . #\d) (30 . #\e) (31 . #\f) (32 . #\g) (33 . #\h) (34 . #\i) (35 . #\j) (36 . #\k) (37 . #\l) (38 . #\m) (39 . #\n) (40 . #\o) (41 . #\p) (42 . #\q) (43 . #\r) (44 . #\s) (45 . #\t) (46 . #\u) (47 . #\v) (48 . #\w) (49 . #\x) (50 . #\y) (51 . #\z) (52 . #\0) (53 . #\1) (54 . #\2) (55 . #\3) (56 . #\4) (57 . #\5) (58 . #\6) (59 . #\7) (60 . #\8) (61 . #\9) (62 . #\+) (63 . #\/)))) (DEFCONST STR::*B64-CHARS-FROM-VALS-ARRAY* (COMPRESS1 (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*) (CONS (LIST :HEADER :DIMENSIONS (LIST 64) :MAXIMUM-LENGTH 65 :DEFAULT #\0 :NAME (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*)) STR::*B64-CHARS-FROM-VALS-ALIST*))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*)) (XDOC::PARENTS (QUOTE (STR::B64-CHAR-FROM-VALUE))) (XDOC::SHORT (QUOTE "Array mapping each value to its associated character.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This array is the main lookup table used for encoding. It
corresponds to Table 1 from RFC 4648.</p>
@(def *b64-chars-from-vals-alist*)
@(def *b64-chars-from-vals-array*)") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::*B64-CHARS-FROM-VALS-ARRAY*) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::B64-CHAR-FROM-VALUE) (:SHORT . "Array mapping each value to its associated character.") (:LONG . "<p>This array is the main lookup table used for encoding. It
corresponds to Table 1 from RFC 4648.</p>
@(def *b64-chars-from-vals-alist*)
@(def *b64-chars-from-vals-array*)
") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::*B64-CHARS-FROM-VALS-ARRAY*)))))) (VALUE-TRIPLE (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*))))) (16 RECORD-EXPANSION (DEFSECTION STR::*B64-VALS-FROM-CODES-ARRAY* :PARENTS (STR::B64-VALUE-FROM-CODE) :SHORT "Array mapping each character code back to its associated value." :LONG "<p>This is the main lookup table used for decoding. It covers every
character code from 0...255. Codes for characters that aren't part of the
Base64 alphabet are mapped to NIL.</p>
@(def *b64-vals-from-codes-array*)" (DEFCONST STR::*B64-VALS-FROM-CODES-ARRAY* (COMPRESS1 (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*) (CONS (LIST :HEADER :DIMENSIONS (LIST 256) :MAXIMUM-LENGTH 257 :DEFAULT NIL :NAME (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*)) (PAIRLIS$ (STR::CHAR-CODE-LIST (STRIP-CDRS STR::*B64-CHARS-FROM-VALS-ALIST*)) (STRIP-CARS STR::*B64-CHARS-FROM-VALS-ALIST*)))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*)) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFCONST STR::*B64-VALS-FROM-CODES-ARRAY* (COMPRESS1 (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*) (CONS (LIST :HEADER :DIMENSIONS (LIST 256) :MAXIMUM-LENGTH 257 :DEFAULT NIL :NAME (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*)) (PAIRLIS$ (STR::CHAR-CODE-LIST (STRIP-CDRS STR::*B64-CHARS-FROM-VALS-ALIST*)) (STRIP-CARS STR::*B64-CHARS-FROM-VALS-ALIST*))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*)) (XDOC::PARENTS (QUOTE (STR::B64-VALUE-FROM-CODE))) (XDOC::SHORT (QUOTE "Array mapping each character code back to its associated value.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is the main lookup table used for decoding. It covers every
character code from 0...255. Codes for characters that aren't part of the
Base64 alphabet are mapped to NIL.</p>
@(def *b64-vals-from-codes-array*)") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::*B64-VALS-FROM-CODES-ARRAY*) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::B64-VALUE-FROM-CODE) (:SHORT . "Array mapping each character code back to its associated value.") (:LONG . "<p>This is the main lookup table used for decoding. It covers every
character code from 0...255. Codes for characters that aren't part of the
Base64 alphabet are mapped to NIL.</p>
@(def *b64-vals-from-codes-array*)
") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::*B64-VALS-FROM-CODES-ARRAY*)))))) (VALUE-TRIPLE (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*))))) (17 RECORD-EXPANSION (DEFINE STR::B64-CHAR-FROM-VALUE ((STR::VALUE :TYPE (UNSIGNED-BYTE 6))) :RETURNS (CHAR CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) :PARENTS (STR::BASE64-IMPL) :SHORT "Look up the Base64 character for a value, e.g., @('0') → @('#\\A')." :LONG "<p>This is our lowest level encoding function. It's just an array
lookup.</p>" :INLINE T (THE CHARACTER (AREF1 (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*) STR::*B64-CHARS-FROM-VALS-ARRAY* STR::VALUE)) /// (DEFTHM STR::B64-CHAR-FROM-VALUE-NEVER-PRODUCES-A-PAD (NOT (EQUAL (STR::B64-CHAR-FROM-VALUE STR::VALUE) #\=)))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-CHAR-FROM-VALUE :PARENTS (STR::BASE64-IMPL) :SHORT "Look up the Base64 character for a value, e.g., @('0') → @('#\\A')." :LONG "<p>This is our lowest level encoding function. It's just an array
lookup.</p>" (DEFMACRO STR::B64-CHAR-FROM-VALUE (STR::VALUE) (LIST (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) STR::VALUE)) (DEFUND STR::B64-CHAR-FROM-VALUE$INLINE (STR::VALUE) (DECLARE (TYPE (UNSIGNED-BYTE 6) STR::VALUE)) (DECLARE (XARGS :GUARD T)) (LET ((__FUNCTION__ (QUOTE STR::B64-CHAR-FROM-VALUE))) (DECLARE (IGNORABLE __FUNCTION__)) (THE CHARACTER (AREF1 (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*) STR::*B64-CHARS-FROM-VALS-ARRAY* STR::VALUE)))) (ADD-MACRO-ALIAS STR::B64-CHAR-FROM-VALUE STR::B64-CHAR-FROM-VALUE$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (QUOTE STR::B64-CHAR-FROM-VALUE)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-CHAR-FROM-VALUE :FN (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . CHAR) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP CHAR) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::VALUE) (GUARD . T) (DOC . "") (CUTIL::OPTS (:TYPE UNSIGNED-BYTE 6)))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-CHAR-FROM-VALUE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . CHAR) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP CHAR) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-CHAR-FROM-VALUE-NEVER-PRODUCES-A-PAD (NOT (EQUAL (STR::B64-CHAR-FROM-VALUE STR::VALUE) #\=)))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-CHAR-FROM-VALUE)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFMACRO STR::B64-CHAR-FROM-VALUE (STR::VALUE) (LIST (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) STR::VALUE)) (DEFUND STR::B64-CHAR-FROM-VALUE$INLINE (STR::VALUE) (DECLARE (TYPE (UNSIGNED-BYTE 6) STR::VALUE)) (DECLARE (XARGS :GUARD T)) (LET ((__FUNCTION__ (QUOTE STR::B64-CHAR-FROM-VALUE))) (DECLARE (IGNORABLE __FUNCTION__)) (THE CHARACTER (AREF1 (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*) STR::*B64-CHARS-FROM-VALS-ARRAY* STR::VALUE)))) (ADD-MACRO-ALIAS STR::B64-CHAR-FROM-VALUE STR::B64-CHAR-FROM-VALUE$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (QUOTE STR::B64-CHAR-FROM-VALUE)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-CHAR-FROM-VALUE :FN (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . CHAR) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP CHAR) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::VALUE) (GUARD . T) (DOC . "") (CUTIL::OPTS (:TYPE UNSIGNED-BYTE 6)))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-CHAR-FROM-VALUE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . CHAR) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP CHAR) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-CHAR-FROM-VALUE-NEVER-PRODUCES-A-PAD (NOT (EQUAL (STR::B64-CHAR-FROM-VALUE STR::VALUE) #\=))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFMACRO STR::B64-CHAR-FROM-VALUE (STR::VALUE) (LIST (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) STR::VALUE)) (DEFUND STR::B64-CHAR-FROM-VALUE$INLINE (STR::VALUE) (DECLARE (TYPE (UNSIGNED-BYTE 6) STR::VALUE)) (DECLARE (XARGS :GUARD T)) (LET ((__FUNCTION__ (QUOTE STR::B64-CHAR-FROM-VALUE))) (DECLARE (IGNORABLE __FUNCTION__)) (THE CHARACTER (AREF1 (QUOTE STR::*B64-CHARS-FROM-VALS-ARRAY*) STR::*B64-CHARS-FROM-VALS-ARRAY* STR::VALUE)))) (ADD-MACRO-ALIAS STR::B64-CHAR-FROM-VALUE STR::B64-CHAR-FROM-VALUE$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (QUOTE STR::B64-CHAR-FROM-VALUE)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-CHAR-FROM-VALUE :FN (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . CHAR) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP CHAR) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::VALUE) (GUARD . T) (DOC . "") (CUTIL::OPTS (:TYPE UNSIGNED-BYTE 6)))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-CHAR-FROM-VALUE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . CHAR) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP CHAR) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-CHAR-FROM-VALUE$INLINE (LET ((CHAR (STR::B64-CHAR-FROM-VALUE$INLINE STR::VALUE))) (CHARACTERP CHAR)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION))) (DEFTHM STR::B64-CHAR-FROM-VALUE-NEVER-PRODUCES-A-PAD (NOT (EQUAL (STR::B64-CHAR-FROM-VALUE STR::VALUE) #\=)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-CHAR-FROM-VALUE)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Look up the Base64 character for a value, e.g., @('0') → @('#\\A').")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-CHAR-FROM-VALUE))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is our lowest level encoding function. It's just an array
lookup.</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-CHAR-FROM-VALUE) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Look up the Base64 character for a value, e.g., @('0') → @('#\\A').") (:LONG . "<p>This is our lowest level encoding function. It's just an array
lookup.</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-CHAR-FROM-VALUE$INLINE|)
@(def |STR|::|RETURN-TYPE-OF-B64-CHAR-FROM-VALUE$INLINE|)
@(def |STR|::|B64-CHAR-FROM-VALUE-NEVER-PRODUCES-A-PAD|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-CHAR-FROM-VALUE)))))) (VALUE-TRIPLE (QUOTE STR::B64-CHAR-FROM-VALUE))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-CHAR-FROM-VALUE)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-CHAR-FROM-VALUE$INLINE) (QUOTE ((:FORMAL (CUTIL::NAME . STR::VALUE) (GUARD . T) (DOC . "") (CUTIL::OPTS (:TYPE UNSIGNED-BYTE 6))))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . CHAR) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP CHAR) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-CHAR-FROM-VALUE) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-CHAR-FROM-VALUE)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-char-from-value value) → char</code></dt><dt>Returns</dt><dd><tt>char</tt> — <color rgb='#606060'>Type @('(characterp char)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (18 RECORD-EXPANSION (DEFINE STR::B64-VALUE-FROM-CODE ((STR::CODE :TYPE (UNSIGNED-BYTE 8))) :RETURNS (STR::VALUE (OR (NOT STR::VALUE) (NATP STR::VALUE)) :RULE-CLASSES :TYPE-PRESCRIPTION) :PARENTS (STR::BASE64-IMPL) :SHORT "Look up the value of a Base64 character code, e.g., @('(char-code
#\\A)') → @('0')." :LONG "<p>This is our lowest level decoding function. It's just an array
lookup. Codes for characters that aren't part of the Base64 alphabet are
mapped to NIL.</p>" :INLINE T (AREF1 (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*) STR::*B64-VALS-FROM-CODES-ARRAY* (LNFIX STR::CODE)) /// (DEFTHM STR::UNSIGNED-BYTE-P-6-OF-B64-VALUE-FROM-CODE (IFF (UNSIGNED-BYTE-P 6 (STR::B64-VALUE-FROM-CODE STR::CODE)) (STR::B64-VALUE-FROM-CODE STR::CODE))) (DEFTHM STR::B64-VALUE-FROM-CODE-OF-B64-CHAR-FROM-VALUE (IMPLIES (UNSIGNED-BYTE-P 6 STR::VALUE) (EQUAL (STR::B64-VALUE-FROM-CODE (CHAR-CODE (STR::B64-CHAR-FROM-VALUE STR::VALUE))) STR::VALUE)) :HINTS (("Goal" :IN-THEORY (E/D (STR::B64-CHAR-FROM-VALUE UNSIGNED-BYTE-P) (STR::EQUAL-OF-CHAR-CODE-AND-CONSTANT)))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-VALUE-FROM-CODE :PARENTS (STR::BASE64-IMPL) :SHORT "Look up the value of a Base64 character code, e.g., @('(char-code
#\\A)') → @('0')." :LONG "<p>This is our lowest level decoding function. It's just an array
lookup. Codes for characters that aren't part of the Base64 alphabet are
mapped to NIL.</p>" (DEFMACRO STR::B64-VALUE-FROM-CODE (STR::CODE) (LIST (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) STR::CODE)) (DEFUND STR::B64-VALUE-FROM-CODE$INLINE (STR::CODE) (DECLARE (TYPE (UNSIGNED-BYTE 8) STR::CODE)) (DECLARE (XARGS :GUARD T)) (LET ((__FUNCTION__ (QUOTE STR::B64-VALUE-FROM-CODE))) (DECLARE (IGNORABLE __FUNCTION__)) (AREF1 (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*) STR::*B64-VALS-FROM-CODES-ARRAY* (LNFIX STR::CODE)))) (ADD-MACRO-ALIAS STR::B64-VALUE-FROM-CODE STR::B64-VALUE-FROM-CODE$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (QUOTE STR::B64-VALUE-FROM-CODE)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-VALUE-FROM-CODE :FN (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::VALUE) (DOC . "") (CUTIL::RETURN-TYPE OR (NOT STR::VALUE) (NATP STR::VALUE)) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::CODE) (GUARD . T) (DOC . "") (CUTIL::OPTS (:TYPE UNSIGNED-BYTE 8)))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-VALUE-FROM-CODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::VALUE) (DOC . "") (CUTIL::RETURN-TYPE OR (NOT STR::VALUE) (NATP STR::VALUE)) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::UNSIGNED-BYTE-P-6-OF-B64-VALUE-FROM-CODE (IFF (UNSIGNED-BYTE-P 6 (STR::B64-VALUE-FROM-CODE STR::CODE)) (STR::B64-VALUE-FROM-CODE STR::CODE))) (DEFTHM STR::B64-VALUE-FROM-CODE-OF-B64-CHAR-FROM-VALUE (IMPLIES (UNSIGNED-BYTE-P 6 STR::VALUE) (EQUAL (STR::B64-VALUE-FROM-CODE (CHAR-CODE (STR::B64-CHAR-FROM-VALUE STR::VALUE))) STR::VALUE)) :HINTS (("Goal" :IN-THEORY (E/D (STR::B64-CHAR-FROM-VALUE UNSIGNED-BYTE-P) (STR::EQUAL-OF-CHAR-CODE-AND-CONSTANT)))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-VALUE-FROM-CODE)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFMACRO STR::B64-VALUE-FROM-CODE (STR::CODE) (LIST (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) STR::CODE)) (DEFUND STR::B64-VALUE-FROM-CODE$INLINE (STR::CODE) (DECLARE (TYPE (UNSIGNED-BYTE 8) STR::CODE)) (DECLARE (XARGS :GUARD T)) (LET ((__FUNCTION__ (QUOTE STR::B64-VALUE-FROM-CODE))) (DECLARE (IGNORABLE __FUNCTION__)) (AREF1 (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*) STR::*B64-VALS-FROM-CODES-ARRAY* (LNFIX STR::CODE)))) (ADD-MACRO-ALIAS STR::B64-VALUE-FROM-CODE STR::B64-VALUE-FROM-CODE$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (QUOTE STR::B64-VALUE-FROM-CODE)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-VALUE-FROM-CODE :FN (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::VALUE) (DOC . "") (CUTIL::RETURN-TYPE OR (NOT STR::VALUE) (NATP STR::VALUE)) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::CODE) (GUARD . T) (DOC . "") (CUTIL::OPTS (:TYPE UNSIGNED-BYTE 8)))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-VALUE-FROM-CODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::VALUE) (DOC . "") (CUTIL::RETURN-TYPE OR (NOT STR::VALUE) (NATP STR::VALUE)) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::UNSIGNED-BYTE-P-6-OF-B64-VALUE-FROM-CODE (IFF (UNSIGNED-BYTE-P 6 (STR::B64-VALUE-FROM-CODE STR::CODE)) (STR::B64-VALUE-FROM-CODE STR::CODE))) (DEFTHM STR::B64-VALUE-FROM-CODE-OF-B64-CHAR-FROM-VALUE (IMPLIES (UNSIGNED-BYTE-P 6 STR::VALUE) (EQUAL (STR::B64-VALUE-FROM-CODE (CHAR-CODE (STR::B64-CHAR-FROM-VALUE STR::VALUE))) STR::VALUE)) :HINTS (("Goal" :IN-THEORY (E/D (STR::B64-CHAR-FROM-VALUE UNSIGNED-BYTE-P) (STR::EQUAL-OF-CHAR-CODE-AND-CONSTANT))))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFMACRO STR::B64-VALUE-FROM-CODE (STR::CODE) (LIST (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) STR::CODE)) (DEFUND STR::B64-VALUE-FROM-CODE$INLINE (STR::CODE) (DECLARE (TYPE (UNSIGNED-BYTE 8) STR::CODE)) (DECLARE (XARGS :GUARD T)) (LET ((__FUNCTION__ (QUOTE STR::B64-VALUE-FROM-CODE))) (DECLARE (IGNORABLE __FUNCTION__)) (AREF1 (QUOTE STR::*B64-VALS-FROM-CODES-ARRAY*) STR::*B64-VALS-FROM-CODES-ARRAY* (LNFIX STR::CODE)))) (ADD-MACRO-ALIAS STR::B64-VALUE-FROM-CODE STR::B64-VALUE-FROM-CODE$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (QUOTE STR::B64-VALUE-FROM-CODE)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-VALUE-FROM-CODE :FN (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::VALUE) (DOC . "") (CUTIL::RETURN-TYPE OR (NOT STR::VALUE) (NATP STR::VALUE)) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::CODE) (GUARD . T) (DOC . "") (CUTIL::OPTS (:TYPE UNSIGNED-BYTE 8)))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-VALUE-FROM-CODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::VALUE) (DOC . "") (CUTIL::RETURN-TYPE OR (NOT STR::VALUE) (NATP STR::VALUE)) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-VALUE-FROM-CODE$INLINE (LET ((STR::VALUE (STR::B64-VALUE-FROM-CODE$INLINE STR::CODE))) (OR (NOT STR::VALUE) (NATP STR::VALUE))) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION))) (DEFTHM STR::UNSIGNED-BYTE-P-6-OF-B64-VALUE-FROM-CODE (IFF (UNSIGNED-BYTE-P 6 (STR::B64-VALUE-FROM-CODE STR::CODE)) (STR::B64-VALUE-FROM-CODE STR::CODE))) (DEFTHM STR::B64-VALUE-FROM-CODE-OF-B64-CHAR-FROM-VALUE (IMPLIES (UNSIGNED-BYTE-P 6 STR::VALUE) (EQUAL (STR::B64-VALUE-FROM-CODE (CHAR-CODE (STR::B64-CHAR-FROM-VALUE STR::VALUE))) STR::VALUE)) :HINTS (("Goal" :IN-THEORY (E/D (STR::B64-CHAR-FROM-VALUE UNSIGNED-BYTE-P) (STR::EQUAL-OF-CHAR-CODE-AND-CONSTANT)))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-VALUE-FROM-CODE)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Look up the value of a Base64 character code, e.g., @('(char-code
#\\A)') → @('0').")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-VALUE-FROM-CODE))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is our lowest level decoding function. It's just an array
lookup. Codes for characters that aren't part of the Base64 alphabet are
mapped to NIL.</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-VALUE-FROM-CODE) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Look up the value of a Base64 character code, e.g., @('(char-code
#\\A)') → @('0').") (:LONG . "<p>This is our lowest level decoding function. It's just an array
lookup. Codes for characters that aren't part of the Base64 alphabet are
mapped to NIL.</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-VALUE-FROM-CODE$INLINE|)
@(def |STR|::|RETURN-TYPE-OF-B64-VALUE-FROM-CODE$INLINE|)
@(def |STR|::|UNSIGNED-BYTE-P-6-OF-B64-VALUE-FROM-CODE|)
@(def |STR|::|B64-VALUE-FROM-CODE-OF-B64-CHAR-FROM-VALUE|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-VALUE-FROM-CODE)))))) (VALUE-TRIPLE (QUOTE STR::B64-VALUE-FROM-CODE))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-VALUE-FROM-CODE)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-VALUE-FROM-CODE$INLINE) (QUOTE ((:FORMAL (CUTIL::NAME . STR::CODE) (GUARD . T) (DOC . "") (CUTIL::OPTS (:TYPE UNSIGNED-BYTE 8))))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::VALUE) (DOC . "") (CUTIL::RETURN-TYPE OR (NOT STR::VALUE) (NATP STR::VALUE)) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-VALUE-FROM-CODE) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-VALUE-FROM-CODE)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-value-from-code code) → value</code></dt><dt>Returns</dt><dd><tt>value</tt> — <color rgb='#606060'>Type @('(or (not value) (natp value))').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (19 RECORD-EXPANSION (DEFINE STR::B64-VALS-FROM-BYTES (STR::B1 STR::B2 STR::B3) (DECLARE (TYPE (UNSIGNED-BYTE 8) STR::B1 STR::B2 STR::B3)) :RETURNS (MV (STR::V1 NATP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::V2 NATP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::V3 NATP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::V4 NATP :RULE-CLASSES :TYPE-PRESCRIPTION)) :PARENTS (STR::BASE64-IMPL) :SHORT "Encode 3 bytes into 4 base-64 characters." :LONG "<p>Convert three bytes into four values, basically as follows:</p>
@({
Byte Bit Pattern ---> Values
b1 aaaaaabb aaaaaa v1
b2 bbbbcccc bbbbbb v2
b3 ccdddddd cccccc v3
dddddd v4
})" :INLINE T (B* ((STR::V1 (THE (UNSIGNED-BYTE 6) (ASH (LNFIX STR::B1) -2))) (STR::V2H (THE (UNSIGNED-BYTE 2) (LOGAND (LNFIX STR::B1) 3))) (STR::V2L (THE (UNSIGNED-BYTE 4) (ASH (LNFIX STR::B2) -4))) (STR::V2 (THE (UNSIGNED-BYTE 6) (LOGIOR (THE (UNSIGNED-BYTE 6) (ASH (THE (UNSIGNED-BYTE 2) STR::V2H) 4)) (THE (UNSIGNED-BYTE 4) STR::V2L)))) (STR::V3H (THE (UNSIGNED-BYTE 4) (LOGAND (LNFIX STR::B2) 15))) (STR::V3L (THE (UNSIGNED-BYTE 2) (ASH (LNFIX STR::B3) -6))) (STR::V3 (THE (UNSIGNED-BYTE 6) (LOGIOR (THE (UNSIGNED-BYTE 6) (ASH (THE (UNSIGNED-BYTE 4) STR::V3H) 2)) (THE (UNSIGNED-BYTE 2) STR::V3L)))) (STR::V4 (THE (UNSIGNED-BYTE 6) (LOGAND (LNFIX STR::B3) 63)))) (MV STR::V1 STR::V2 STR::V3 STR::V4)) /// (DEFTHM STR::UNSIGNED-BYTE-P-6-OF-B64-VALS-FROM-BYTES (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2)) (FORCE (UNSIGNED-BYTE-P 8 STR::B3))) (B* (((MV STR::V1 STR::V2 STR::V3 STR::V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 STR::B3))) (AND (UNSIGNED-BYTE-P 6 STR::V1) (UNSIGNED-BYTE-P 6 STR::V2) (UNSIGNED-BYTE-P 6 STR::V3) (UNSIGNED-BYTE-P 6 STR::V4))))) (DEFTHM STR::B64-VALS-FROM-BYTES-PADDING-1 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 0))) (EQUAL STR::V4 0))) (DEFTHM STR::B64-VALS-FROM-BYTES-PADDING-2 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 0 0))) (EQUAL STR::V3 0)))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-VALS-FROM-BYTES :PARENTS (STR::BASE64-IMPL) :SHORT "Encode 3 bytes into 4 base-64 characters." :LONG "<p>Convert three bytes into four values, basically as follows:</p>
@({
Byte Bit Pattern ---> Values
b1 aaaaaabb aaaaaa v1
b2 bbbbcccc bbbbbb v2
b3 ccdddddd cccccc v3
dddddd v4
})" (DEFMACRO STR::B64-VALS-FROM-BYTES (STR::B1 STR::B2 STR::B3) (LIST (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) STR::B1 STR::B2 STR::B3)) (DEFUND STR::B64-VALS-FROM-BYTES$INLINE (STR::B1 STR::B2 STR::B3) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE (UNSIGNED-BYTE 8) STR::B1 STR::B2 STR::B3)) (LET ((__FUNCTION__ (QUOTE STR::B64-VALS-FROM-BYTES))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::V1 (THE (UNSIGNED-BYTE 6) (ASH (LNFIX STR::B1) -2))) (STR::V2H (THE (UNSIGNED-BYTE 2) (LOGAND (LNFIX STR::B1) 3))) (STR::V2L (THE (UNSIGNED-BYTE 4) (ASH (LNFIX STR::B2) -4))) (STR::V2 (THE (UNSIGNED-BYTE 6) (LOGIOR (THE (UNSIGNED-BYTE 6) (ASH (THE (UNSIGNED-BYTE 2) STR::V2H) 4)) (THE (UNSIGNED-BYTE 4) STR::V2L)))) (STR::V3H (THE (UNSIGNED-BYTE 4) (LOGAND (LNFIX STR::B2) 15))) (STR::V3L (THE (UNSIGNED-BYTE 2) (ASH (LNFIX STR::B3) -6))) (STR::V3 (THE (UNSIGNED-BYTE 6) (LOGIOR (THE (UNSIGNED-BYTE 6) (ASH (THE (UNSIGNED-BYTE 4) STR::V3H) 2)) (THE (UNSIGNED-BYTE 2) STR::V3L)))) (STR::V4 (THE (UNSIGNED-BYTE 6) (LOGAND (LNFIX STR::B3) 63)))) (MV STR::V1 STR::V2 STR::V3 STR::V4)))) (ADD-MACRO-ALIAS STR::B64-VALS-FROM-BYTES STR::B64-VALS-FROM-BYTES$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (QUOTE STR::B64-VALS-FROM-BYTES)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-VALS-FROM-BYTES :FN (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::V1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V4) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::B1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::B2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::B3) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-VALS-FROM-BYTES))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::V1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V4) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::UNSIGNED-BYTE-P-6-OF-B64-VALS-FROM-BYTES (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2)) (FORCE (UNSIGNED-BYTE-P 8 STR::B3))) (B* (((MV STR::V1 STR::V2 STR::V3 STR::V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 STR::B3))) (AND (UNSIGNED-BYTE-P 6 STR::V1) (UNSIGNED-BYTE-P 6 STR::V2) (UNSIGNED-BYTE-P 6 STR::V3) (UNSIGNED-BYTE-P 6 STR::V4))))) (DEFTHM STR::B64-VALS-FROM-BYTES-PADDING-1 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 0))) (EQUAL STR::V4 0))) (DEFTHM STR::B64-VALS-FROM-BYTES-PADDING-2 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 0 0))) (EQUAL STR::V3 0)))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-VALS-FROM-BYTES)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFMACRO STR::B64-VALS-FROM-BYTES (STR::B1 STR::B2 STR::B3) (LIST (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) STR::B1 STR::B2 STR::B3)) (DEFUND STR::B64-VALS-FROM-BYTES$INLINE (STR::B1 STR::B2 STR::B3) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE (UNSIGNED-BYTE 8) STR::B1 STR::B2 STR::B3)) (LET ((__FUNCTION__ (QUOTE STR::B64-VALS-FROM-BYTES))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::V1 (THE (UNSIGNED-BYTE 6) (ASH (LNFIX STR::B1) -2))) (STR::V2H (THE (UNSIGNED-BYTE 2) (LOGAND (LNFIX STR::B1) 3))) (STR::V2L (THE (UNSIGNED-BYTE 4) (ASH (LNFIX STR::B2) -4))) (STR::V2 (THE (UNSIGNED-BYTE 6) (LOGIOR (THE (UNSIGNED-BYTE 6) (ASH (THE (UNSIGNED-BYTE 2) STR::V2H) 4)) (THE (UNSIGNED-BYTE 4) STR::V2L)))) (STR::V3H (THE (UNSIGNED-BYTE 4) (LOGAND (LNFIX STR::B2) 15))) (STR::V3L (THE (UNSIGNED-BYTE 2) (ASH (LNFIX STR::B3) -6))) (STR::V3 (THE (UNSIGNED-BYTE 6) (LOGIOR (THE (UNSIGNED-BYTE 6) (ASH (THE (UNSIGNED-BYTE 4) STR::V3H) 2)) (THE (UNSIGNED-BYTE 2) STR::V3L)))) (STR::V4 (THE (UNSIGNED-BYTE 6) (LOGAND (LNFIX STR::B3) 63)))) (MV STR::V1 STR::V2 STR::V3 STR::V4)))) (ADD-MACRO-ALIAS STR::B64-VALS-FROM-BYTES STR::B64-VALS-FROM-BYTES$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (QUOTE STR::B64-VALS-FROM-BYTES)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-VALS-FROM-BYTES :FN (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::V1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V4) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::B1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::B2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::B3) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-VALS-FROM-BYTES))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::V1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V4) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::UNSIGNED-BYTE-P-6-OF-B64-VALS-FROM-BYTES (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2)) (FORCE (UNSIGNED-BYTE-P 8 STR::B3))) (B* (((MV STR::V1 STR::V2 STR::V3 STR::V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 STR::B3))) (AND (UNSIGNED-BYTE-P 6 STR::V1) (UNSIGNED-BYTE-P 6 STR::V2) (UNSIGNED-BYTE-P 6 STR::V3) (UNSIGNED-BYTE-P 6 STR::V4))))) (DEFTHM STR::B64-VALS-FROM-BYTES-PADDING-1 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 0))) (EQUAL STR::V4 0))) (DEFTHM STR::B64-VALS-FROM-BYTES-PADDING-2 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 0 0))) (EQUAL STR::V3 0))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFMACRO STR::B64-VALS-FROM-BYTES (STR::B1 STR::B2 STR::B3) (LIST (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) STR::B1 STR::B2 STR::B3)) (DEFUND STR::B64-VALS-FROM-BYTES$INLINE (STR::B1 STR::B2 STR::B3) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE (UNSIGNED-BYTE 8) STR::B1 STR::B2 STR::B3)) (LET ((__FUNCTION__ (QUOTE STR::B64-VALS-FROM-BYTES))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::V1 (THE (UNSIGNED-BYTE 6) (ASH (LNFIX STR::B1) -2))) (STR::V2H (THE (UNSIGNED-BYTE 2) (LOGAND (LNFIX STR::B1) 3))) (STR::V2L (THE (UNSIGNED-BYTE 4) (ASH (LNFIX STR::B2) -4))) (STR::V2 (THE (UNSIGNED-BYTE 6) (LOGIOR (THE (UNSIGNED-BYTE 6) (ASH (THE (UNSIGNED-BYTE 2) STR::V2H) 4)) (THE (UNSIGNED-BYTE 4) STR::V2L)))) (STR::V3H (THE (UNSIGNED-BYTE 4) (LOGAND (LNFIX STR::B2) 15))) (STR::V3L (THE (UNSIGNED-BYTE 2) (ASH (LNFIX STR::B3) -6))) (STR::V3 (THE (UNSIGNED-BYTE 6) (LOGIOR (THE (UNSIGNED-BYTE 6) (ASH (THE (UNSIGNED-BYTE 4) STR::V3H) 2)) (THE (UNSIGNED-BYTE 2) STR::V3L)))) (STR::V4 (THE (UNSIGNED-BYTE 6) (LOGAND (LNFIX STR::B3) 63)))) (MV STR::V1 STR::V2 STR::V3 STR::V4)))) (ADD-MACRO-ALIAS STR::B64-VALS-FROM-BYTES STR::B64-VALS-FROM-BYTES$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (QUOTE STR::B64-VALS-FROM-BYTES)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-VALS-FROM-BYTES :FN (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::V1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V4) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::B1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::B2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::B3) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-VALS-FROM-BYTES))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::V1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V4) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-VALS-FROM-BYTES$INLINE.V1 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES$INLINE STR::B1 STR::B2 STR::B3))) (NATP STR::V1)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-VALS-FROM-BYTES$INLINE.V2 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES$INLINE STR::B1 STR::B2 STR::B3))) (NATP STR::V2)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-VALS-FROM-BYTES$INLINE.V3 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES$INLINE STR::B1 STR::B2 STR::B3))) (NATP STR::V3)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-VALS-FROM-BYTES$INLINE.V4 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES$INLINE STR::B1 STR::B2 STR::B3))) (NATP STR::V4)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION))) (DEFTHM STR::UNSIGNED-BYTE-P-6-OF-B64-VALS-FROM-BYTES (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2)) (FORCE (UNSIGNED-BYTE-P 8 STR::B3))) (B* (((MV STR::V1 STR::V2 STR::V3 STR::V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 STR::B3))) (AND (UNSIGNED-BYTE-P 6 STR::V1) (UNSIGNED-BYTE-P 6 STR::V2) (UNSIGNED-BYTE-P 6 STR::V3) (UNSIGNED-BYTE-P 6 STR::V4))))) (DEFTHM STR::B64-VALS-FROM-BYTES-PADDING-1 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 0))) (EQUAL STR::V4 0))) (DEFTHM STR::B64-VALS-FROM-BYTES-PADDING-2 (B* (((MV STR::?V1 STR::?V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 0 0))) (EQUAL STR::V3 0)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-VALS-FROM-BYTES)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Encode 3 bytes into 4 base-64 characters.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-VALS-FROM-BYTES))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>Convert three bytes into four values, basically as follows:</p>
@({
Byte Bit Pattern ---> Values
b1 aaaaaabb aaaaaa v1
b2 bbbbcccc bbbbbb v2
b3 ccdddddd cccccc v3
dddddd v4
})") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-VALS-FROM-BYTES) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Encode 3 bytes into 4 base-64 characters.") (:LONG . "<p>Convert three bytes into four values, basically as follows:</p>
@({
Byte Bit Pattern ---> Values
b1 aaaaaabb aaaaaa v1
b2 bbbbcccc bbbbbb v2
b3 ccdddddd cccccc v3
dddddd v4
})
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-VALS-FROM-BYTES$INLINE|)
@(def |STR|::|RETURN-TYPE-OF-B64-VALS-FROM-BYTES$INLINE.V1|)
@(def |STR|::|RETURN-TYPE-OF-B64-VALS-FROM-BYTES$INLINE.V2|)
@(def |STR|::|RETURN-TYPE-OF-B64-VALS-FROM-BYTES$INLINE.V3|)
@(def |STR|::|RETURN-TYPE-OF-B64-VALS-FROM-BYTES$INLINE.V4|)
@(def |STR|::|UNSIGNED-BYTE-P-6-OF-B64-VALS-FROM-BYTES|)
@(def |STR|::|B64-VALS-FROM-BYTES-PADDING-1|)
@(def |STR|::|B64-VALS-FROM-BYTES-PADDING-2|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-VALS-FROM-BYTES)))))) (VALUE-TRIPLE (QUOTE STR::B64-VALS-FROM-BYTES))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-VALS-FROM-BYTES)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-VALS-FROM-BYTES$INLINE) (QUOTE ((:FORMAL (CUTIL::NAME . STR::B1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::B2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::B3) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::V1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::V4) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::V4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-VALS-FROM-BYTES) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-VALS-FROM-BYTES)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-vals-from-bytes b1 b2 b3) → (mv v1 v2 v3 v4)</code></dt><dt>Returns</dt><dd><tt>v1</tt> — <color rgb='#606060'>Type @('(natp v1)').</color></dd>
<dd><tt>v2</tt> — <color rgb='#606060'>Type @('(natp v2)').</color></dd>
<dd><tt>v3</tt> — <color rgb='#606060'>Type @('(natp v3)').</color></dd>
<dd><tt>v4</tt> — <color rgb='#606060'>Type @('(natp v4)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (20 RECORD-EXPANSION (DEFINE STR::B64-BYTES-FROM-VALS (STR::V1 STR::V2 STR::V3 STR::V4) (DECLARE (TYPE (UNSIGNED-BYTE 6) STR::V1 STR::V2 STR::V3 STR::V4)) :RETURNS (MV (STR::B1 NATP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::B2 NATP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::B3 NATP :RULE-CLASSES :TYPE-PRESCRIPTION)) :PARENTS (STR::BASE64-IMPL) :SHORT "Decode 4 base-64 values into 3 bytes." :LONG "<p>This is just doing the inverse of @(see b64-vals-from-bytes).</p>" :INLINE T (B* ((STR::B1 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V1) 2)) (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V2) -4))))) (STR::B2 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (THE (UNSIGNED-BYTE 8) (LOGAND (LNFIX STR::V2) 15)) 4)) (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V3) -2))))) (STR::B3 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (THE (UNSIGNED-BYTE 8) (LOGAND (LNFIX STR::V3) 3)) 6)) (LNFIX STR::V4))))) (MV STR::B1 STR::B2 STR::B3)) /// (DEFTHM STR::UNSIGNED-BYTE-P-8-OF-B64-DECODE-4-CHARS (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 6 STR::V1)) (FORCE (UNSIGNED-BYTE-P 6 STR::V2)) (FORCE (UNSIGNED-BYTE-P 6 STR::V3)) (FORCE (UNSIGNED-BYTE-P 6 STR::V4))) (B* (((MV STR::B1 STR::B2 STR::B3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 STR::V4))) (AND (UNSIGNED-BYTE-P 8 STR::B1) (UNSIGNED-BYTE-P 8 STR::B2) (UNSIGNED-BYTE-P 8 STR::B3))))) (DEFTHM STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (B* (((MV STR::V1 STR::V2 STR::V3 STR::V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 STR::B3)) ((MV STR::X1 STR::X2 STR::X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 STR::V4))) (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2)) (FORCE (UNSIGNED-BYTE-P 8 STR::B3))) (AND (EQUAL STR::X1 STR::B1) (EQUAL STR::X2 STR::B2) (EQUAL STR::X3 STR::B3)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-VALS-FROM-BYTES)) (EQUAL-BY-LOGBITP-HAMMER))) (DEFTHM STR::B64-BYTES-FROM-VALS-PADDING-1 (B* (((MV STR::V1 STR::V2 STR::V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 0)) ((MV STR::X1 STR::X2 STR::?X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 0))) (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2))) (AND (EQUAL STR::X1 STR::B1) (EQUAL STR::X2 STR::B2)))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES) :USE ((:INSTANCE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (STR::B3 0)))))) (DEFTHM STR::B64-BYTES-FROM-VALS-PADDING-2 (B* (((MV STR::V1 STR::V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 0 0)) ((MV STR::X1 STR::?X2 STR::?X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 0 0))) (IMPLIES (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (EQUAL STR::X1 STR::B1))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES) :USE ((:INSTANCE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (STR::B2 0) (STR::B3 0))))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-BYTES-FROM-VALS :PARENTS (STR::BASE64-IMPL) :SHORT "Decode 4 base-64 values into 3 bytes." :LONG "<p>This is just doing the inverse of @(see b64-vals-from-bytes).</p>" (DEFMACRO STR::B64-BYTES-FROM-VALS (STR::V1 STR::V2 STR::V3 STR::V4) (LIST (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) STR::V1 STR::V2 STR::V3 STR::V4)) (DEFUND STR::B64-BYTES-FROM-VALS$INLINE (STR::V1 STR::V2 STR::V3 STR::V4) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE (UNSIGNED-BYTE 6) STR::V1 STR::V2 STR::V3 STR::V4)) (LET ((__FUNCTION__ (QUOTE STR::B64-BYTES-FROM-VALS))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::B1 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V1) 2)) (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V2) -4))))) (STR::B2 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (THE (UNSIGNED-BYTE 8) (LOGAND (LNFIX STR::V2) 15)) 4)) (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V3) -2))))) (STR::B3 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (THE (UNSIGNED-BYTE 8) (LOGAND (LNFIX STR::V3) 3)) 6)) (LNFIX STR::V4))))) (MV STR::B1 STR::B2 STR::B3)))) (ADD-MACRO-ALIAS STR::B64-BYTES-FROM-VALS STR::B64-BYTES-FROM-VALS$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (QUOTE STR::B64-BYTES-FROM-VALS)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-BYTES-FROM-VALS :FN (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::B1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::V1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V4) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-BYTES-FROM-VALS))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::B1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::UNSIGNED-BYTE-P-8-OF-B64-DECODE-4-CHARS (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 6 STR::V1)) (FORCE (UNSIGNED-BYTE-P 6 STR::V2)) (FORCE (UNSIGNED-BYTE-P 6 STR::V3)) (FORCE (UNSIGNED-BYTE-P 6 STR::V4))) (B* (((MV STR::B1 STR::B2 STR::B3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 STR::V4))) (AND (UNSIGNED-BYTE-P 8 STR::B1) (UNSIGNED-BYTE-P 8 STR::B2) (UNSIGNED-BYTE-P 8 STR::B3))))) (DEFTHM STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (B* (((MV STR::V1 STR::V2 STR::V3 STR::V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 STR::B3)) ((MV STR::X1 STR::X2 STR::X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 STR::V4))) (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2)) (FORCE (UNSIGNED-BYTE-P 8 STR::B3))) (AND (EQUAL STR::X1 STR::B1) (EQUAL STR::X2 STR::B2) (EQUAL STR::X3 STR::B3)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-VALS-FROM-BYTES)) (EQUAL-BY-LOGBITP-HAMMER))) (DEFTHM STR::B64-BYTES-FROM-VALS-PADDING-1 (B* (((MV STR::V1 STR::V2 STR::V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 0)) ((MV STR::X1 STR::X2 STR::?X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 0))) (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2))) (AND (EQUAL STR::X1 STR::B1) (EQUAL STR::X2 STR::B2)))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES) :USE ((:INSTANCE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (STR::B3 0)))))) (DEFTHM STR::B64-BYTES-FROM-VALS-PADDING-2 (B* (((MV STR::V1 STR::V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 0 0)) ((MV STR::X1 STR::?X2 STR::?X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 0 0))) (IMPLIES (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (EQUAL STR::X1 STR::B1))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES) :USE ((:INSTANCE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (STR::B2 0) (STR::B3 0))))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-BYTES-FROM-VALS)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFMACRO STR::B64-BYTES-FROM-VALS (STR::V1 STR::V2 STR::V3 STR::V4) (LIST (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) STR::V1 STR::V2 STR::V3 STR::V4)) (DEFUND STR::B64-BYTES-FROM-VALS$INLINE (STR::V1 STR::V2 STR::V3 STR::V4) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE (UNSIGNED-BYTE 6) STR::V1 STR::V2 STR::V3 STR::V4)) (LET ((__FUNCTION__ (QUOTE STR::B64-BYTES-FROM-VALS))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::B1 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V1) 2)) (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V2) -4))))) (STR::B2 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (THE (UNSIGNED-BYTE 8) (LOGAND (LNFIX STR::V2) 15)) 4)) (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V3) -2))))) (STR::B3 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (THE (UNSIGNED-BYTE 8) (LOGAND (LNFIX STR::V3) 3)) 6)) (LNFIX STR::V4))))) (MV STR::B1 STR::B2 STR::B3)))) (ADD-MACRO-ALIAS STR::B64-BYTES-FROM-VALS STR::B64-BYTES-FROM-VALS$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (QUOTE STR::B64-BYTES-FROM-VALS)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-BYTES-FROM-VALS :FN (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::B1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::V1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V4) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-BYTES-FROM-VALS))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::B1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::UNSIGNED-BYTE-P-8-OF-B64-DECODE-4-CHARS (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 6 STR::V1)) (FORCE (UNSIGNED-BYTE-P 6 STR::V2)) (FORCE (UNSIGNED-BYTE-P 6 STR::V3)) (FORCE (UNSIGNED-BYTE-P 6 STR::V4))) (B* (((MV STR::B1 STR::B2 STR::B3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 STR::V4))) (AND (UNSIGNED-BYTE-P 8 STR::B1) (UNSIGNED-BYTE-P 8 STR::B2) (UNSIGNED-BYTE-P 8 STR::B3))))) (DEFTHM STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (B* (((MV STR::V1 STR::V2 STR::V3 STR::V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 STR::B3)) ((MV STR::X1 STR::X2 STR::X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 STR::V4))) (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2)) (FORCE (UNSIGNED-BYTE-P 8 STR::B3))) (AND (EQUAL STR::X1 STR::B1) (EQUAL STR::X2 STR::B2) (EQUAL STR::X3 STR::B3)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-VALS-FROM-BYTES)) (EQUAL-BY-LOGBITP-HAMMER))) (DEFTHM STR::B64-BYTES-FROM-VALS-PADDING-1 (B* (((MV STR::V1 STR::V2 STR::V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 0)) ((MV STR::X1 STR::X2 STR::?X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 0))) (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2))) (AND (EQUAL STR::X1 STR::B1) (EQUAL STR::X2 STR::B2)))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES) :USE ((:INSTANCE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (STR::B3 0)))))) (DEFTHM STR::B64-BYTES-FROM-VALS-PADDING-2 (B* (((MV STR::V1 STR::V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 0 0)) ((MV STR::X1 STR::?X2 STR::?X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 0 0))) (IMPLIES (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (EQUAL STR::X1 STR::B1))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES) :USE ((:INSTANCE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (STR::B2 0) (STR::B3 0)))))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFMACRO STR::B64-BYTES-FROM-VALS (STR::V1 STR::V2 STR::V3 STR::V4) (LIST (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) STR::V1 STR::V2 STR::V3 STR::V4)) (DEFUND STR::B64-BYTES-FROM-VALS$INLINE (STR::V1 STR::V2 STR::V3 STR::V4) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE (UNSIGNED-BYTE 6) STR::V1 STR::V2 STR::V3 STR::V4)) (LET ((__FUNCTION__ (QUOTE STR::B64-BYTES-FROM-VALS))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::B1 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V1) 2)) (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V2) -4))))) (STR::B2 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (THE (UNSIGNED-BYTE 8) (LOGAND (LNFIX STR::V2) 15)) 4)) (THE (UNSIGNED-BYTE 8) (ASH (LNFIX STR::V3) -2))))) (STR::B3 (THE (UNSIGNED-BYTE 8) (LOGIOR (THE (UNSIGNED-BYTE 8) (ASH (THE (UNSIGNED-BYTE 8) (LOGAND (LNFIX STR::V3) 3)) 6)) (LNFIX STR::V4))))) (MV STR::B1 STR::B2 STR::B3)))) (ADD-MACRO-ALIAS STR::B64-BYTES-FROM-VALS STR::B64-BYTES-FROM-VALS$INLINE) (TABLE CUTIL::DEFINE-MACRO-FNS (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (QUOTE STR::B64-BYTES-FROM-VALS)) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-BYTES-FROM-VALS :FN (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::B1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::V1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V4) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-BYTES-FROM-VALS))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::B1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-BYTES-FROM-VALS$INLINE.B1 (B* (((MV STR::?B1 STR::?B2 STR::?B3) (STR::B64-BYTES-FROM-VALS$INLINE STR::V1 STR::V2 STR::V3 STR::V4))) (NATP STR::B1)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-BYTES-FROM-VALS$INLINE.B2 (B* (((MV STR::?B1 STR::?B2 STR::?B3) (STR::B64-BYTES-FROM-VALS$INLINE STR::V1 STR::V2 STR::V3 STR::V4))) (NATP STR::B2)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-BYTES-FROM-VALS$INLINE.B3 (B* (((MV STR::?B1 STR::?B2 STR::?B3) (STR::B64-BYTES-FROM-VALS$INLINE STR::V1 STR::V2 STR::V3 STR::V4))) (NATP STR::B3)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION))) (DEFTHM STR::UNSIGNED-BYTE-P-8-OF-B64-DECODE-4-CHARS (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 6 STR::V1)) (FORCE (UNSIGNED-BYTE-P 6 STR::V2)) (FORCE (UNSIGNED-BYTE-P 6 STR::V3)) (FORCE (UNSIGNED-BYTE-P 6 STR::V4))) (B* (((MV STR::B1 STR::B2 STR::B3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 STR::V4))) (AND (UNSIGNED-BYTE-P 8 STR::B1) (UNSIGNED-BYTE-P 8 STR::B2) (UNSIGNED-BYTE-P 8 STR::B3))))) (DEFTHM STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (B* (((MV STR::V1 STR::V2 STR::V3 STR::V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 STR::B3)) ((MV STR::X1 STR::X2 STR::X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 STR::V4))) (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2)) (FORCE (UNSIGNED-BYTE-P 8 STR::B3))) (AND (EQUAL STR::X1 STR::B1) (EQUAL STR::X2 STR::B2) (EQUAL STR::X3 STR::B3)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-VALS-FROM-BYTES)) (EQUAL-BY-LOGBITP-HAMMER))) (DEFTHM STR::B64-BYTES-FROM-VALS-PADDING-1 (B* (((MV STR::V1 STR::V2 STR::V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 STR::B2 0)) ((MV STR::X1 STR::X2 STR::?X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 STR::V3 0))) (IMPLIES (AND (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (FORCE (UNSIGNED-BYTE-P 8 STR::B2))) (AND (EQUAL STR::X1 STR::B1) (EQUAL STR::X2 STR::B2)))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES) :USE ((:INSTANCE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (STR::B3 0)))))) (DEFTHM STR::B64-BYTES-FROM-VALS-PADDING-2 (B* (((MV STR::V1 STR::V2 STR::?V3 STR::?V4) (STR::B64-VALS-FROM-BYTES STR::B1 0 0)) ((MV STR::X1 STR::?X2 STR::?X3) (STR::B64-BYTES-FROM-VALS STR::V1 STR::V2 0 0))) (IMPLIES (FORCE (UNSIGNED-BYTE-P 8 STR::B1)) (EQUAL STR::X1 STR::B1))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES) :USE ((:INSTANCE STR::B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES (STR::B2 0) (STR::B3 0))))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-BYTES-FROM-VALS)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Decode 4 base-64 values into 3 bytes.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-BYTES-FROM-VALS))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is just doing the inverse of @(see b64-vals-from-bytes).</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-BYTES-FROM-VALS) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Decode 4 base-64 values into 3 bytes.") (:LONG . "<p>This is just doing the inverse of @(see b64-vals-from-bytes).</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-BYTES-FROM-VALS$INLINE|)
@(def |STR|::|RETURN-TYPE-OF-B64-BYTES-FROM-VALS$INLINE.B1|)
@(def |STR|::|RETURN-TYPE-OF-B64-BYTES-FROM-VALS$INLINE.B2|)
@(def |STR|::|RETURN-TYPE-OF-B64-BYTES-FROM-VALS$INLINE.B3|)
@(def |STR|::|UNSIGNED-BYTE-P-8-OF-B64-DECODE-4-CHARS|)
@(def |STR|::|B64-BYTES-FROM-VALS-OF-B64-VALS-FROM-BYTES|)
@(def |STR|::|B64-BYTES-FROM-VALS-PADDING-1|)
@(def |STR|::|B64-BYTES-FROM-VALS-PADDING-2|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-BYTES-FROM-VALS)))))) (VALUE-TRIPLE (QUOTE STR::B64-BYTES-FROM-VALS))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-BYTES-FROM-VALS)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-BYTES-FROM-VALS$INLINE) (QUOTE ((:FORMAL (CUTIL::NAME . STR::V1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::V4) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::B1) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B2) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::B3) (DOC . "") (CUTIL::RETURN-TYPE NATP STR::B3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-BYTES-FROM-VALS) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-BYTES-FROM-VALS)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-bytes-from-vals v1 v2 v3 v4) → (mv b1 b2 b3)</code></dt><dt>Returns</dt><dd><tt>b1</tt> — <color rgb='#606060'>Type @('(natp b1)').</color></dd>
<dd><tt>b2</tt> — <color rgb='#606060'>Type @('(natp b2)').</color></dd>
<dd><tt>b3</tt> — <color rgb='#606060'>Type @('(natp b3)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (21 RECORD-EXPANSION (DEFINE STR::B64-ENC3 (STR::C1 STR::C2 STR::C3) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3)) :RETURNS (MV (STR::E1 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::E2 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::E3 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::E4 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION)) :PARENTS (STR::BASE64-IMPL) :SHORT "Encode 3 arbitrary characters into 4 base-64 characters." :LONG "<p>This is the main function for encoding, which is used for all but
perhaps the last one or two characters.</p>" (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) (STR::BYTE2 (CHAR-CODE STR::C2)) (STR::BYTE3 (CHAR-CODE STR::C3)) ((MV STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4) (STR::B64-VALS-FROM-BYTES STR::BYTE1 STR::BYTE2 STR::BYTE3)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2)) (STR::CHAR3 (STR::B64-CHAR-FROM-VALUE STR::VAL3)) (STR::CHAR4 (STR::B64-CHAR-FROM-VALUE STR::VAL4))) (MV STR::CHAR1 STR::CHAR2 STR::CHAR3 STR::CHAR4))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-ENC3 :PARENTS (STR::BASE64-IMPL) :SHORT "Encode 3 arbitrary characters into 4 base-64 characters." :LONG "<p>This is the main function for encoding, which is used for all but
perhaps the last one or two characters.</p>" (DEFUND STR::B64-ENC3 (STR::C1 STR::C2 STR::C3) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3)) (LET ((__FUNCTION__ (QUOTE STR::B64-ENC3))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) (STR::BYTE2 (CHAR-CODE STR::C2)) (STR::BYTE3 (CHAR-CODE STR::C3)) ((MV STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4) (STR::B64-VALS-FROM-BYTES STR::BYTE1 STR::BYTE2 STR::BYTE3)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2)) (STR::CHAR3 (STR::B64-CHAR-FROM-VALUE STR::VAL3)) (STR::CHAR4 (STR::B64-CHAR-FROM-VALUE STR::VAL4))) (MV STR::CHAR1 STR::CHAR2 STR::CHAR3 STR::CHAR4)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENC3 :FN (QUOTE STR::B64-ENC3) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENC3) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENC3))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENC3) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENC3)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENC3 (STR::C1 STR::C2 STR::C3) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3)) (LET ((__FUNCTION__ (QUOTE STR::B64-ENC3))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) (STR::BYTE2 (CHAR-CODE STR::C2)) (STR::BYTE3 (CHAR-CODE STR::C3)) ((MV STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4) (STR::B64-VALS-FROM-BYTES STR::BYTE1 STR::BYTE2 STR::BYTE3)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2)) (STR::CHAR3 (STR::B64-CHAR-FROM-VALUE STR::VAL3)) (STR::CHAR4 (STR::B64-CHAR-FROM-VALUE STR::VAL4))) (MV STR::CHAR1 STR::CHAR2 STR::CHAR3 STR::CHAR4)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENC3 :FN (QUOTE STR::B64-ENC3) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENC3) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENC3))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENC3) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENC3 (STR::C1 STR::C2 STR::C3) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3)) (LET ((__FUNCTION__ (QUOTE STR::B64-ENC3))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) (STR::BYTE2 (CHAR-CODE STR::C2)) (STR::BYTE3 (CHAR-CODE STR::C3)) ((MV STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4) (STR::B64-VALS-FROM-BYTES STR::BYTE1 STR::BYTE2 STR::BYTE3)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2)) (STR::CHAR3 (STR::B64-CHAR-FROM-VALUE STR::VAL3)) (STR::CHAR4 (STR::B64-CHAR-FROM-VALUE STR::VAL4))) (MV STR::CHAR1 STR::CHAR2 STR::CHAR3 STR::CHAR4)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENC3 :FN (QUOTE STR::B64-ENC3) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENC3) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENC3))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENC3) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-ENC3.E1 (B* (((MV STR::?E1 STR::?E2 STR::?E3 STR::?E4) (STR::B64-ENC3 STR::C1 STR::C2 STR::C3))) (CHARACTERP STR::E1)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-ENC3.E2 (B* (((MV STR::?E1 STR::?E2 STR::?E3 STR::?E4) (STR::B64-ENC3 STR::C1 STR::C2 STR::C3))) (CHARACTERP STR::E2)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-ENC3.E3 (B* (((MV STR::?E1 STR::?E2 STR::?E3 STR::?E4) (STR::B64-ENC3 STR::C1 STR::C2 STR::C3))) (CHARACTERP STR::E3)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-ENC3.E4 (B* (((MV STR::?E1 STR::?E2 STR::?E3 STR::?E4) (STR::B64-ENC3 STR::C1 STR::C2 STR::C3))) (CHARACTERP STR::E4)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-ENC3)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Encode 3 arbitrary characters into 4 base-64 characters.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENC3))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is the main function for encoding, which is used for all but
perhaps the last one or two characters.</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-ENC3) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Encode 3 arbitrary characters into 4 base-64 characters.") (:LONG . "<p>This is the main function for encoding, which is used for all but
perhaps the last one or two characters.</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-ENC3|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENC3.E1|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENC3.E2|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENC3.E3|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENC3.E4|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-ENC3)))))) (VALUE-TRIPLE (QUOTE STR::B64-ENC3))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-ENC3)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-ENC3) (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-ENC3) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-ENC3)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-enc3 c1 c2 c3) → (mv e1 e2 e3 e4)</code></dt><dt>Returns</dt><dd><tt>e1</tt> — <color rgb='#606060'>Type @('(characterp e1)').</color></dd>
<dd><tt>e2</tt> — <color rgb='#606060'>Type @('(characterp e2)').</color></dd>
<dd><tt>e3</tt> — <color rgb='#606060'>Type @('(characterp e3)').</color></dd>
<dd><tt>e4</tt> — <color rgb='#606060'>Type @('(characterp e4)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (22 RECORD-EXPANSION (DEFINE STR::B64-ENC2 (STR::C1 STR::C2) (DECLARE (TYPE CHARACTER STR::C1 STR::C2)) :RETURNS (MV (STR::E1 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::E2 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::E3 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION)) :PARENTS (STR::BASE64-IMPL) :SHORT "Encode 2 final characters into base-64 characters." :LONG "<p>This is only used if we have almost reached the end of the string
and there are exactly two characters left to encode; note that in this case we
also need to insert one explicit pad character (=).</p>" (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) (STR::BYTE2 (CHAR-CODE STR::C2)) ((MV STR::VAL1 STR::VAL2 STR::VAL3 &) (STR::B64-VALS-FROM-BYTES STR::BYTE1 STR::BYTE2 0)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2)) (STR::CHAR3 (STR::B64-CHAR-FROM-VALUE STR::VAL3))) (MV STR::CHAR1 STR::CHAR2 STR::CHAR3))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-ENC2 :PARENTS (STR::BASE64-IMPL) :SHORT "Encode 2 final characters into base-64 characters." :LONG "<p>This is only used if we have almost reached the end of the string
and there are exactly two characters left to encode; note that in this case we
also need to insert one explicit pad character (=).</p>" (DEFUND STR::B64-ENC2 (STR::C1 STR::C2) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2)) (LET ((__FUNCTION__ (QUOTE STR::B64-ENC2))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) (STR::BYTE2 (CHAR-CODE STR::C2)) ((MV STR::VAL1 STR::VAL2 STR::VAL3 &) (STR::B64-VALS-FROM-BYTES STR::BYTE1 STR::BYTE2 0)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2)) (STR::CHAR3 (STR::B64-CHAR-FROM-VALUE STR::VAL3))) (MV STR::CHAR1 STR::CHAR2 STR::CHAR3)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENC2 :FN (QUOTE STR::B64-ENC2) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENC2) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENC2))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENC2) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENC2)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENC2 (STR::C1 STR::C2) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2)) (LET ((__FUNCTION__ (QUOTE STR::B64-ENC2))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) (STR::BYTE2 (CHAR-CODE STR::C2)) ((MV STR::VAL1 STR::VAL2 STR::VAL3 &) (STR::B64-VALS-FROM-BYTES STR::BYTE1 STR::BYTE2 0)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2)) (STR::CHAR3 (STR::B64-CHAR-FROM-VALUE STR::VAL3))) (MV STR::CHAR1 STR::CHAR2 STR::CHAR3)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENC2 :FN (QUOTE STR::B64-ENC2) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENC2) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENC2))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENC2) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENC2 (STR::C1 STR::C2) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2)) (LET ((__FUNCTION__ (QUOTE STR::B64-ENC2))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) (STR::BYTE2 (CHAR-CODE STR::C2)) ((MV STR::VAL1 STR::VAL2 STR::VAL3 &) (STR::B64-VALS-FROM-BYTES STR::BYTE1 STR::BYTE2 0)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2)) (STR::CHAR3 (STR::B64-CHAR-FROM-VALUE STR::VAL3))) (MV STR::CHAR1 STR::CHAR2 STR::CHAR3)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENC2 :FN (QUOTE STR::B64-ENC2) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENC2) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENC2))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENC2) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-ENC2.E1 (B* (((MV STR::?E1 STR::?E2 STR::?E3) (STR::B64-ENC2 STR::C1 STR::C2))) (CHARACTERP STR::E1)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-ENC2.E2 (B* (((MV STR::?E1 STR::?E2 STR::?E3) (STR::B64-ENC2 STR::C1 STR::C2))) (CHARACTERP STR::E2)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-ENC2.E3 (B* (((MV STR::?E1 STR::?E2 STR::?E3) (STR::B64-ENC2 STR::C1 STR::C2))) (CHARACTERP STR::E3)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-ENC2)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Encode 2 final characters into base-64 characters.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENC2))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is only used if we have almost reached the end of the string
and there are exactly two characters left to encode; note that in this case we
also need to insert one explicit pad character (=).</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-ENC2) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Encode 2 final characters into base-64 characters.") (:LONG . "<p>This is only used if we have almost reached the end of the string
and there are exactly two characters left to encode; note that in this case we
also need to insert one explicit pad character (=).</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-ENC2|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENC2.E1|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENC2.E2|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENC2.E3|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-ENC2)))))) (VALUE-TRIPLE (QUOTE STR::B64-ENC2))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-ENC2)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-ENC2) (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-ENC2) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-ENC2)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-enc2 c1 c2) → (mv e1 e2 e3)</code></dt><dt>Returns</dt><dd><tt>e1</tt> — <color rgb='#606060'>Type @('(characterp e1)').</color></dd>
<dd><tt>e2</tt> — <color rgb='#606060'>Type @('(characterp e2)').</color></dd>
<dd><tt>e3</tt> — <color rgb='#606060'>Type @('(characterp e3)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (23 RECORD-EXPANSION (DEFINE STR::B64-ENC1 (STR::C1) (DECLARE (TYPE CHARACTER STR::C1)) :RETURNS (MV (STR::E1 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::E2 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION)) :PARENTS (STR::BASE64-IMPL) :SHORT "Encode 1 final character into base-64 characters." :LONG "<p>This is only used if we have almost reached the end of the string
and there is exactly one character left to encode; note that in this case we
need to insert two explicit pad characters (=).</p>" (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) ((MV STR::VAL1 STR::VAL2 & &) (STR::B64-VALS-FROM-BYTES STR::BYTE1 0 0)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2))) (MV STR::CHAR1 STR::CHAR2))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-ENC1 :PARENTS (STR::BASE64-IMPL) :SHORT "Encode 1 final character into base-64 characters." :LONG "<p>This is only used if we have almost reached the end of the string
and there is exactly one character left to encode; note that in this case we
need to insert two explicit pad characters (=).</p>" (DEFUND STR::B64-ENC1 (STR::C1) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1)) (LET ((__FUNCTION__ (QUOTE STR::B64-ENC1))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) ((MV STR::VAL1 STR::VAL2 & &) (STR::B64-VALS-FROM-BYTES STR::BYTE1 0 0)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2))) (MV STR::CHAR1 STR::CHAR2)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENC1 :FN (QUOTE STR::B64-ENC1) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENC1) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENC1))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENC1) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENC1)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENC1 (STR::C1) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1)) (LET ((__FUNCTION__ (QUOTE STR::B64-ENC1))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) ((MV STR::VAL1 STR::VAL2 & &) (STR::B64-VALS-FROM-BYTES STR::BYTE1 0 0)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2))) (MV STR::CHAR1 STR::CHAR2)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENC1 :FN (QUOTE STR::B64-ENC1) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENC1) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENC1))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENC1) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENC1 (STR::C1) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1)) (LET ((__FUNCTION__ (QUOTE STR::B64-ENC1))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::BYTE1 (CHAR-CODE STR::C1)) ((MV STR::VAL1 STR::VAL2 & &) (STR::B64-VALS-FROM-BYTES STR::BYTE1 0 0)) (STR::CHAR1 (STR::B64-CHAR-FROM-VALUE STR::VAL1)) (STR::CHAR2 (STR::B64-CHAR-FROM-VALUE STR::VAL2))) (MV STR::CHAR1 STR::CHAR2)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENC1 :FN (QUOTE STR::B64-ENC1) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENC1) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENC1))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENC1) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-ENC1.E1 (B* (((MV STR::?E1 STR::?E2) (STR::B64-ENC1 STR::C1))) (CHARACTERP STR::E1)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-ENC1.E2 (B* (((MV STR::?E1 STR::?E2) (STR::B64-ENC1 STR::C1))) (CHARACTERP STR::E2)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-ENC1)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Encode 1 final character into base-64 characters.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENC1))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is only used if we have almost reached the end of the string
and there is exactly one character left to encode; note that in this case we
need to insert two explicit pad characters (=).</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-ENC1) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Encode 1 final character into base-64 characters.") (:LONG . "<p>This is only used if we have almost reached the end of the string
and there is exactly one character left to encode; note that in this case we
need to insert two explicit pad characters (=).</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-ENC1|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENC1.E1|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENC1.E2|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-ENC1)))))) (VALUE-TRIPLE (QUOTE STR::B64-ENC1))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-ENC1)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-ENC1) (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-ENC1) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-ENC1)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-enc1 c1) → (mv e1 e2)</code></dt><dt>Returns</dt><dd><tt>e1</tt> — <color rgb='#606060'>Type @('(characterp e1)').</color></dd>
<dd><tt>e2</tt> — <color rgb='#606060'>Type @('(characterp e2)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (24 RECORD-EXPANSION (DEFINE STR::B64-ENCODE-LAST-GROUP ((X CHARACTER-LISTP)) :RETURNS (MV (STR::E1 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::E2 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::E3 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::E4 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION)) :GUARD (CONSP X) :PARENTS (STR::BASE64-IMPL) :SHORT "Encode the last group of (up to three) characters." (COND ((ATOM (CDR X)) (B* (((MV STR::C1 STR::C2) (STR::B64-ENC1 (FIRST X)))) (MV STR::C1 STR::C2 #\= #\=))) ((ATOM (CDDR X)) (B* (((MV STR::C1 STR::C2 STR::C3) (STR::B64-ENC2 (FIRST X) (SECOND X)))) (MV STR::C1 STR::C2 STR::C3 #\=))) (T (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-ENCODE-LAST-GROUP :PARENTS (STR::BASE64-IMPL) :SHORT "Encode the last group of (up to three) characters." (DEFUND STR::B64-ENCODE-LAST-GROUP (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (DECLARE (XARGS :GUARD (CONSP X))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-LAST-GROUP))) (DECLARE (IGNORABLE __FUNCTION__)) (COND ((ATOM (CDR X)) (B* (((MV STR::C1 STR::C2) (STR::B64-ENC1 (FIRST X)))) (MV STR::C1 STR::C2 #\= #\=))) ((ATOM (CDDR X)) (B* (((MV STR::C1 STR::C2 STR::C3) (STR::B64-ENC2 (FIRST X) (SECOND X)))) (MV STR::C1 STR::C2 STR::C3 #\=))) (T (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-LAST-GROUP :FN (QUOTE STR::B64-ENCODE-LAST-GROUP) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-LAST-GROUP) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-LAST-GROUP) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENCODE-LAST-GROUP)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENCODE-LAST-GROUP (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (DECLARE (XARGS :GUARD (CONSP X))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-LAST-GROUP))) (DECLARE (IGNORABLE __FUNCTION__)) (COND ((ATOM (CDR X)) (B* (((MV STR::C1 STR::C2) (STR::B64-ENC1 (FIRST X)))) (MV STR::C1 STR::C2 #\= #\=))) ((ATOM (CDDR X)) (B* (((MV STR::C1 STR::C2 STR::C3) (STR::B64-ENC2 (FIRST X) (SECOND X)))) (MV STR::C1 STR::C2 STR::C3 #\=))) (T (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-LAST-GROUP :FN (QUOTE STR::B64-ENCODE-LAST-GROUP) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-LAST-GROUP) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-LAST-GROUP) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENCODE-LAST-GROUP (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (DECLARE (XARGS :GUARD (CONSP X))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-LAST-GROUP))) (DECLARE (IGNORABLE __FUNCTION__)) (COND ((ATOM (CDR X)) (B* (((MV STR::C1 STR::C2) (STR::B64-ENC1 (FIRST X)))) (MV STR::C1 STR::C2 #\= #\=))) ((ATOM (CDDR X)) (B* (((MV STR::C1 STR::C2 STR::C3) (STR::B64-ENC2 (FIRST X) (SECOND X)))) (MV STR::C1 STR::C2 STR::C3 #\=))) (T (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-LAST-GROUP :FN (QUOTE STR::B64-ENCODE-LAST-GROUP) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-LAST-GROUP) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-LAST-GROUP) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-ENCODE-LAST-GROUP.E1 (B* (((MV STR::?E1 STR::?E2 STR::?E3 STR::?E4) (STR::B64-ENCODE-LAST-GROUP X))) (CHARACTERP STR::E1)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-ENCODE-LAST-GROUP.E2 (B* (((MV STR::?E1 STR::?E2 STR::?E3 STR::?E4) (STR::B64-ENCODE-LAST-GROUP X))) (CHARACTERP STR::E2)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-ENCODE-LAST-GROUP.E3 (B* (((MV STR::?E1 STR::?E2 STR::?E3 STR::?E4) (STR::B64-ENCODE-LAST-GROUP X))) (CHARACTERP STR::E3)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-ENCODE-LAST-GROUP.E4 (B* (((MV STR::?E1 STR::?E2 STR::?E3 STR::?E4) (STR::B64-ENCODE-LAST-GROUP X))) (CHARACTERP STR::E4)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-ENCODE-LAST-GROUP)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Encode the last group of (up to three) characters.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENCODE-LAST-GROUP))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-ENCODE-LAST-GROUP) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Encode the last group of (up to three) characters.") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-ENCODE-LAST-GROUP|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENCODE-LAST-GROUP.E1|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENCODE-LAST-GROUP.E2|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENCODE-LAST-GROUP.E3|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENCODE-LAST-GROUP.E4|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-ENCODE-LAST-GROUP)))))) (VALUE-TRIPLE (QUOTE STR::B64-ENCODE-LAST-GROUP))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-ENCODE-LAST-GROUP)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-ENCODE-LAST-GROUP) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::E1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::E4) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::E4) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-ENCODE-LAST-GROUP) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-ENCODE-LAST-GROUP)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-encode-last-group x) → (mv e1 e2 e3 e4)</code></dt><dt>Arguments</dt><dd><tt>x</tt> — <color rgb='#606060'>Guard @('(character-listp x)').</color></dd>
<dt>Returns</dt><dd><tt>e1</tt> — <color rgb='#606060'>Type @('(characterp e1)').</color></dd>
<dd><tt>e2</tt> — <color rgb='#606060'>Type @('(characterp e2)').</color></dd>
<dd><tt>e3</tt> — <color rgb='#606060'>Type @('(characterp e3)').</color></dd>
<dd><tt>e4</tt> — <color rgb='#606060'>Type @('(characterp e4)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (25 RECORD-EXPANSION (DEFINE STR::B64-ENCODE-LIST-IMPL ((X CHARACTER-LISTP) (STR::ACC)) :RETURNS (STR::ACC CHARACTER-LISTP :HYP (CHARACTER-LISTP STR::ACC)) :PARENTS (STR::BASE64-IMPL) :SHORT "Tail-recursive version of @(see base64-encode-list)." (B* (((WHEN (ATOM X)) STR::ACC) ((WHEN (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X))) (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X))) (STR::ACC (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) (STR::B64-ENCODE-LIST-IMPL (CDDDR X) STR::ACC))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-ENCODE-LIST-IMPL :PARENTS (STR::BASE64-IMPL) :SHORT "Tail-recursive version of @(see base64-encode-list)." (DEFUND STR::B64-ENCODE-LIST-IMPL (X STR::ACC) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-LIST-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((WHEN (ATOM X)) STR::ACC) ((WHEN (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X))) (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X))) (STR::ACC (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) (STR::B64-ENCODE-LIST-IMPL (CDDDR X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-LIST-IMPL :FN (QUOTE STR::B64-ENCODE-LIST-IMPL) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-LIST-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-LIST-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-LIST-IMPL) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENCODE-LIST-IMPL)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENCODE-LIST-IMPL (X STR::ACC) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-LIST-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((WHEN (ATOM X)) STR::ACC) ((WHEN (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X))) (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X))) (STR::ACC (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) (STR::B64-ENCODE-LIST-IMPL (CDDDR X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-LIST-IMPL :FN (QUOTE STR::B64-ENCODE-LIST-IMPL) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-LIST-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-LIST-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-LIST-IMPL) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENCODE-LIST-IMPL (X STR::ACC) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-LIST-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((WHEN (ATOM X)) STR::ACC) ((WHEN (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X))) (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X))) (STR::ACC (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) (STR::B64-ENCODE-LIST-IMPL (CDDDR X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-LIST-IMPL :FN (QUOTE STR::B64-ENCODE-LIST-IMPL) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-LIST-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-LIST-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-LIST-IMPL) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-ENCODE-LIST-IMPL (IMPLIES (CHARACTER-LISTP STR::ACC) (LET ((STR::ACC (STR::B64-ENCODE-LIST-IMPL X STR::ACC))) (CHARACTER-LISTP STR::ACC))) :HINTS NIL :RULE-CLASSES :REWRITE)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-ENCODE-LIST-IMPL)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Tail-recursive version of @(see base64-encode-list).")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENCODE-LIST-IMPL))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-ENCODE-LIST-IMPL) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Tail-recursive version of @(see base64-encode-list).") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-ENCODE-LIST-IMPL|)
@(def |STR|::|RETURN-TYPE-OF-B64-ENCODE-LIST-IMPL|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-ENCODE-LIST-IMPL)))))) (VALUE-TRIPLE (QUOTE STR::B64-ENCODE-LIST-IMPL))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-ENCODE-LIST-IMPL)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-ENCODE-LIST-IMPL) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-ENCODE-LIST-IMPL) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-ENCODE-LIST-IMPL)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-encode-list-impl x acc) → acc</code></dt><dt>Arguments</dt><dd><tt>x</tt> — <color rgb='#606060'>Guard @('(character-listp x)').</color></dd>
<dt>Returns</dt><dd><tt>acc</tt> — <color rgb='#606060'>Type @('(character-listp acc)'), given @('(character-listp acc)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (26 RECORD-EXPANSION (DEFINE STR::BASE64-ENCODE-LIST ((X CHARACTER-LISTP "Character list to encode.")) :RETURNS (STR::X-ENC CHARACTER-LISTP "Encoded version of @('x').") :PARENTS (STR::BASE64) :SHORT "Base64 encode a character list." :VERIFY-GUARDS NIL (MBE :LOGIC (B* (((WHEN (ATOM X)) NIL) ((WHEN (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X))) (LIST STR::C1 STR::C2 STR::C3 STR::C4))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X)))) (APPEND (LIST STR::C1 STR::C2 STR::C3 STR::C4) (STR::BASE64-ENCODE-LIST (CDDDR X)))) :EXEC (REVERSE (STR::B64-ENCODE-LIST-IMPL X NIL))) /// (DEFTHM STR::B64-ENCODE-LIST-IMPL-REMOVAL (EQUAL (STR::B64-ENCODE-LIST-IMPL X STR::ACC) (REVAPPEND (STR::BASE64-ENCODE-LIST X) STR::ACC)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENCODE-LIST-IMPL)))) (VERIFY-GUARDS STR::BASE64-ENCODE-LIST)) (PROGN (RECORD-EXPANSION (DEFSECTION STR::BASE64-ENCODE-LIST :PARENTS (STR::BASE64) :SHORT "Base64 encode a character list." (DEFUND STR::BASE64-ENCODE-LIST (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (DECLARE (XARGS :VERIFY-GUARDS NIL)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-ENCODE-LIST))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((WHEN (ATOM X)) NIL) ((WHEN (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X))) (LIST STR::C1 STR::C2 STR::C3 STR::C4))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X)))) (APPEND (LIST STR::C1 STR::C2 STR::C3 STR::C4) (STR::BASE64-ENCODE-LIST (CDDDR X)))) :EXEC (REVERSE (STR::B64-ENCODE-LIST-IMPL X NIL))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-ENCODE-LIST :FN (QUOTE STR::BASE64-ENCODE-LIST) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::X-ENC) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::X-ENC) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "Character list to encode.") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-ENCODE-LIST) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-ENCODE-LIST))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-ENCODE-LIST) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::X-ENC) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::X-ENC) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-ENCODE-LIST-IMPL-REMOVAL (EQUAL (STR::B64-ENCODE-LIST-IMPL X STR::ACC) (REVAPPEND (STR::BASE64-ENCODE-LIST X) STR::ACC)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENCODE-LIST-IMPL)))) (VERIFY-GUARDS STR::BASE64-ENCODE-LIST)) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-ENCODE-LIST)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::BASE64-ENCODE-LIST (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (DECLARE (XARGS :VERIFY-GUARDS NIL)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-ENCODE-LIST))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((WHEN (ATOM X)) NIL) ((WHEN (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X))) (LIST STR::C1 STR::C2 STR::C3 STR::C4))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X)))) (APPEND (LIST STR::C1 STR::C2 STR::C3 STR::C4) (STR::BASE64-ENCODE-LIST (CDDDR X)))) :EXEC (REVERSE (STR::B64-ENCODE-LIST-IMPL X NIL))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-ENCODE-LIST :FN (QUOTE STR::BASE64-ENCODE-LIST) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::X-ENC) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::X-ENC) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "Character list to encode.") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-ENCODE-LIST) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-ENCODE-LIST))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-ENCODE-LIST) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::X-ENC) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::X-ENC) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-ENCODE-LIST-IMPL-REMOVAL (EQUAL (STR::B64-ENCODE-LIST-IMPL X STR::ACC) (REVAPPEND (STR::BASE64-ENCODE-LIST X) STR::ACC)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENCODE-LIST-IMPL)))) (VERIFY-GUARDS STR::BASE64-ENCODE-LIST))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::BASE64-ENCODE-LIST (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (DECLARE (XARGS :VERIFY-GUARDS NIL)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-ENCODE-LIST))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((WHEN (ATOM X)) NIL) ((WHEN (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X))) (LIST STR::C1 STR::C2 STR::C3 STR::C4))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (FIRST X) (SECOND X) (THIRD X)))) (APPEND (LIST STR::C1 STR::C2 STR::C3 STR::C4) (STR::BASE64-ENCODE-LIST (CDDDR X)))) :EXEC (REVERSE (STR::B64-ENCODE-LIST-IMPL X NIL))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-ENCODE-LIST :FN (QUOTE STR::BASE64-ENCODE-LIST) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::X-ENC) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::X-ENC) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "Character list to encode.") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-ENCODE-LIST) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-ENCODE-LIST))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-ENCODE-LIST) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::X-ENC) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::X-ENC) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-BASE64-ENCODE-LIST (LET ((STR::X-ENC (STR::BASE64-ENCODE-LIST X))) (CHARACTER-LISTP STR::X-ENC)) :HINTS NIL :RULE-CLASSES :REWRITE))) (DEFTHM STR::B64-ENCODE-LIST-IMPL-REMOVAL (EQUAL (STR::B64-ENCODE-LIST-IMPL X STR::ACC) (REVAPPEND (STR::BASE64-ENCODE-LIST X) STR::ACC)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENCODE-LIST-IMPL)))) (VERIFY-GUARDS STR::BASE64-ENCODE-LIST)))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::BASE64-ENCODE-LIST)) (XDOC::PARENTS (QUOTE (STR::BASE64))) (XDOC::SHORT (QUOTE "Base64 encode a character list.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-ENCODE-LIST))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::BASE64-ENCODE-LIST) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64) (:SHORT . "Base64 encode a character list.") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|BASE64-ENCODE-LIST|)
@(def |STR|::|RETURN-TYPE-OF-BASE64-ENCODE-LIST|)
@(def |STR|::|B64-ENCODE-LIST-IMPL-REMOVAL|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::BASE64-ENCODE-LIST)))))) (VALUE-TRIPLE (QUOTE STR::BASE64-ENCODE-LIST))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::BASE64-ENCODE-LIST)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::BASE64-ENCODE-LIST) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "Character list to encode.") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::X-ENC) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::X-ENC) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::BASE64-ENCODE-LIST) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::BASE64-ENCODE-LIST)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(base64-encode-list x) → x-enc</code></dt><dt>Arguments</dt><dd><tt>x</tt> — Character list to encode.<br/> <color rgb='#606060'>Guard @('(character-listp x)').</color></dd>
<dt>Returns</dt><dd><tt>x-enc</tt> — Encoded version of @('x').<br/> <color rgb='#606060'>Type @('(character-listp x-enc)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (27 RECORD-EXPANSION (DEFINE STR::B64-DEC3 (STR::C1 STR::C2 STR::C3 STR::C4) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3 STR::C4)) :PARENTS (STR::BASE64-IMPL) :SHORT "Decode 3 arbitrary characters from 4 base-64 characters." :LONG "<p>This is the main function for decoding, which is used for all but
perhaps the last one or two characters.</p>" :RETURNS (MV (STR::OKP BOOLEANP "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input." :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::D1 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::D2 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::D3 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::CODE3 (CHAR-CODE STR::C3)) (STR::CODE4 (CHAR-CODE STR::C4)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) (STR::VAL3 (STR::B64-VALUE-FROM-CODE STR::CODE3)) (STR::VAL4 (STR::B64-VALUE-FROM-CODE STR::CODE4)) ((UNLESS (AND STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4)) (MV NIL #\0 #\0 #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) (THE (UNSIGNED-BYTE 8) STR::B2) (THE (UNSIGNED-BYTE 8) STR::B3)) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4)) (STR::CHAR1 (CODE-CHAR STR::B1)) (STR::CHAR2 (CODE-CHAR STR::B2)) (STR::CHAR3 (CODE-CHAR STR::B3))) (MV T STR::CHAR1 STR::CHAR2 STR::CHAR3)) /// (DEFTHM STR::B64-DEC3-OF-B64-ENC3 (IMPLIES (AND (CHARACTERP STR::C1) (CHARACTERP STR::C2) (CHARACTERP STR::C3)) (B* (((MV STR::E1 STR::E2 STR::E3 STR::E4) (STR::B64-ENC3 STR::C1 STR::C2 STR::C3)) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::E1 STR::E2 STR::E3 STR::E4))) (AND STR::OKP (EQUAL STR::X1 STR::C1) (EQUAL STR::X2 STR::C2) (EQUAL STR::X3 STR::C3)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC3))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-DEC3 :PARENTS (STR::BASE64-IMPL) :SHORT "Decode 3 arbitrary characters from 4 base-64 characters." :LONG "<p>This is the main function for decoding, which is used for all but
perhaps the last one or two characters.</p>" (DEFUND STR::B64-DEC3 (STR::C1 STR::C2 STR::C3 STR::C4) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3 STR::C4)) (LET ((__FUNCTION__ (QUOTE STR::B64-DEC3))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::CODE3 (CHAR-CODE STR::C3)) (STR::CODE4 (CHAR-CODE STR::C4)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) (STR::VAL3 (STR::B64-VALUE-FROM-CODE STR::CODE3)) (STR::VAL4 (STR::B64-VALUE-FROM-CODE STR::CODE4)) ((UNLESS (AND STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4)) (MV NIL #\0 #\0 #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) (THE (UNSIGNED-BYTE 8) STR::B2) (THE (UNSIGNED-BYTE 8) STR::B3)) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4)) (STR::CHAR1 (CODE-CHAR STR::B1)) (STR::CHAR2 (CODE-CHAR STR::B2)) (STR::CHAR3 (CODE-CHAR STR::B3))) (MV T STR::CHAR1 STR::CHAR2 STR::CHAR3)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DEC3 :FN (QUOTE STR::B64-DEC3) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C4) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DEC3) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DEC3))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DEC3) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-DEC3-OF-B64-ENC3 (IMPLIES (AND (CHARACTERP STR::C1) (CHARACTERP STR::C2) (CHARACTERP STR::C3)) (B* (((MV STR::E1 STR::E2 STR::E3 STR::E4) (STR::B64-ENC3 STR::C1 STR::C2 STR::C3)) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::E1 STR::E2 STR::E3 STR::E4))) (AND STR::OKP (EQUAL STR::X1 STR::C1) (EQUAL STR::X2 STR::C2) (EQUAL STR::X3 STR::C3)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC3))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DEC3)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DEC3 (STR::C1 STR::C2 STR::C3 STR::C4) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3 STR::C4)) (LET ((__FUNCTION__ (QUOTE STR::B64-DEC3))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::CODE3 (CHAR-CODE STR::C3)) (STR::CODE4 (CHAR-CODE STR::C4)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) (STR::VAL3 (STR::B64-VALUE-FROM-CODE STR::CODE3)) (STR::VAL4 (STR::B64-VALUE-FROM-CODE STR::CODE4)) ((UNLESS (AND STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4)) (MV NIL #\0 #\0 #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) (THE (UNSIGNED-BYTE 8) STR::B2) (THE (UNSIGNED-BYTE 8) STR::B3)) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4)) (STR::CHAR1 (CODE-CHAR STR::B1)) (STR::CHAR2 (CODE-CHAR STR::B2)) (STR::CHAR3 (CODE-CHAR STR::B3))) (MV T STR::CHAR1 STR::CHAR2 STR::CHAR3)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DEC3 :FN (QUOTE STR::B64-DEC3) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C4) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DEC3) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DEC3))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DEC3) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-DEC3-OF-B64-ENC3 (IMPLIES (AND (CHARACTERP STR::C1) (CHARACTERP STR::C2) (CHARACTERP STR::C3)) (B* (((MV STR::E1 STR::E2 STR::E3 STR::E4) (STR::B64-ENC3 STR::C1 STR::C2 STR::C3)) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::E1 STR::E2 STR::E3 STR::E4))) (AND STR::OKP (EQUAL STR::X1 STR::C1) (EQUAL STR::X2 STR::C2) (EQUAL STR::X3 STR::C3)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC3)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DEC3 (STR::C1 STR::C2 STR::C3 STR::C4) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3 STR::C4)) (LET ((__FUNCTION__ (QUOTE STR::B64-DEC3))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::CODE3 (CHAR-CODE STR::C3)) (STR::CODE4 (CHAR-CODE STR::C4)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) (STR::VAL3 (STR::B64-VALUE-FROM-CODE STR::CODE3)) (STR::VAL4 (STR::B64-VALUE-FROM-CODE STR::CODE4)) ((UNLESS (AND STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4)) (MV NIL #\0 #\0 #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) (THE (UNSIGNED-BYTE 8) STR::B2) (THE (UNSIGNED-BYTE 8) STR::B3)) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 STR::VAL3 STR::VAL4)) (STR::CHAR1 (CODE-CHAR STR::B1)) (STR::CHAR2 (CODE-CHAR STR::B2)) (STR::CHAR3 (CODE-CHAR STR::B3))) (MV T STR::CHAR1 STR::CHAR2 STR::CHAR3)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DEC3 :FN (QUOTE STR::B64-DEC3) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C4) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DEC3) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DEC3))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DEC3) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-DEC3.OKP (B* (((MV STR::?OKP STR::?D1 STR::?D2 STR::?D3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4))) (BOOLEANP STR::OKP)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-DEC3.D1 (B* (((MV STR::?OKP STR::?D1 STR::?D2 STR::?D3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4))) (CHARACTERP STR::D1)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-DEC3.D2 (B* (((MV STR::?OKP STR::?D1 STR::?D2 STR::?D3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4))) (CHARACTERP STR::D2)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-DEC3.D3 (B* (((MV STR::?OKP STR::?D1 STR::?D2 STR::?D3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4))) (CHARACTERP STR::D3)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION))) (DEFTHM STR::B64-DEC3-OF-B64-ENC3 (IMPLIES (AND (CHARACTERP STR::C1) (CHARACTERP STR::C2) (CHARACTERP STR::C3)) (B* (((MV STR::E1 STR::E2 STR::E3 STR::E4) (STR::B64-ENC3 STR::C1 STR::C2 STR::C3)) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::E1 STR::E2 STR::E3 STR::E4))) (AND STR::OKP (EQUAL STR::X1 STR::C1) (EQUAL STR::X2 STR::C2) (EQUAL STR::X3 STR::C3)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC3))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-DEC3)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Decode 3 arbitrary characters from 4 base-64 characters.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DEC3))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is the main function for decoding, which is used for all but
perhaps the last one or two characters.</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-DEC3) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Decode 3 arbitrary characters from 4 base-64 characters.") (:LONG . "<p>This is the main function for decoding, which is used for all but
perhaps the last one or two characters.</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-DEC3|)
@(def |STR|::|RETURN-TYPE-OF-B64-DEC3.OKP|)
@(def |STR|::|RETURN-TYPE-OF-B64-DEC3.D1|)
@(def |STR|::|RETURN-TYPE-OF-B64-DEC3.D2|)
@(def |STR|::|RETURN-TYPE-OF-B64-DEC3.D3|)
@(def |STR|::|B64-DEC3-OF-B64-ENC3|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-DEC3)))))) (VALUE-TRIPLE (QUOTE STR::B64-DEC3))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-DEC3)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-DEC3) (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C4) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D3) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D3) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-DEC3) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-DEC3)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-dec3 c1 c2 c3 c4) → (mv okp d1 d2 d3)</code></dt><dt>Returns</dt><dd><tt>okp</tt> — Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.<br/> <color rgb='#606060'>Type @('(booleanp okp)').</color></dd>
<dd><tt>d1</tt> — <color rgb='#606060'>Type @('(characterp d1)').</color></dd>
<dd><tt>d2</tt> — <color rgb='#606060'>Type @('(characterp d2)').</color></dd>
<dd><tt>d3</tt> — <color rgb='#606060'>Type @('(characterp d3)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (28 RECORD-EXPANSION (DEFINE STR::B64-DEC2 (STR::C1 STR::C2 STR::C3) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3)) :PARENTS (STR::BASE64-IMPL) :SHORT "Decode three base-64 characters to recover 2 arbitrary characters." :LONG "<p>This is only used to decode the last group of base-64 characters,
when there is exactly one pad.</p>" :RETURNS (MV (STR::OKP BOOLEANP "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input." :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::D1 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::D2 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::CODE3 (CHAR-CODE STR::C3)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) (STR::VAL3 (STR::B64-VALUE-FROM-CODE STR::CODE3)) ((UNLESS (AND STR::VAL1 STR::VAL2 STR::VAL3)) (MV NIL #\0 #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) (THE (UNSIGNED-BYTE 8) STR::B2) &) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 STR::VAL3 0)) (STR::CHAR1 (CODE-CHAR STR::B1)) (STR::CHAR2 (CODE-CHAR STR::B2))) (MV T STR::CHAR1 STR::CHAR2)) /// (DEFTHM STR::B64-DEC2-OF-B64-ENC2 (IMPLIES (AND (CHARACTERP STR::C1) (CHARACTERP STR::C2)) (B* (((MV STR::E1 STR::E2 STR::E3) (STR::B64-ENC2 STR::C1 STR::C2)) ((MV STR::OKP STR::X1 STR::X2) (STR::B64-DEC2 STR::E1 STR::E2 STR::E3))) (AND STR::OKP (EQUAL STR::X1 STR::C1) (EQUAL STR::X2 STR::C2)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC2))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-DEC2 :PARENTS (STR::BASE64-IMPL) :SHORT "Decode three base-64 characters to recover 2 arbitrary characters." :LONG "<p>This is only used to decode the last group of base-64 characters,
when there is exactly one pad.</p>" (DEFUND STR::B64-DEC2 (STR::C1 STR::C2 STR::C3) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3)) (LET ((__FUNCTION__ (QUOTE STR::B64-DEC2))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::CODE3 (CHAR-CODE STR::C3)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) (STR::VAL3 (STR::B64-VALUE-FROM-CODE STR::CODE3)) ((UNLESS (AND STR::VAL1 STR::VAL2 STR::VAL3)) (MV NIL #\0 #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) (THE (UNSIGNED-BYTE 8) STR::B2) &) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 STR::VAL3 0)) (STR::CHAR1 (CODE-CHAR STR::B1)) (STR::CHAR2 (CODE-CHAR STR::B2))) (MV T STR::CHAR1 STR::CHAR2)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DEC2 :FN (QUOTE STR::B64-DEC2) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DEC2) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DEC2))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DEC2) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-DEC2-OF-B64-ENC2 (IMPLIES (AND (CHARACTERP STR::C1) (CHARACTERP STR::C2)) (B* (((MV STR::E1 STR::E2 STR::E3) (STR::B64-ENC2 STR::C1 STR::C2)) ((MV STR::OKP STR::X1 STR::X2) (STR::B64-DEC2 STR::E1 STR::E2 STR::E3))) (AND STR::OKP (EQUAL STR::X1 STR::C1) (EQUAL STR::X2 STR::C2)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC2))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DEC2)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DEC2 (STR::C1 STR::C2 STR::C3) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3)) (LET ((__FUNCTION__ (QUOTE STR::B64-DEC2))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::CODE3 (CHAR-CODE STR::C3)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) (STR::VAL3 (STR::B64-VALUE-FROM-CODE STR::CODE3)) ((UNLESS (AND STR::VAL1 STR::VAL2 STR::VAL3)) (MV NIL #\0 #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) (THE (UNSIGNED-BYTE 8) STR::B2) &) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 STR::VAL3 0)) (STR::CHAR1 (CODE-CHAR STR::B1)) (STR::CHAR2 (CODE-CHAR STR::B2))) (MV T STR::CHAR1 STR::CHAR2)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DEC2 :FN (QUOTE STR::B64-DEC2) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DEC2) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DEC2))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DEC2) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-DEC2-OF-B64-ENC2 (IMPLIES (AND (CHARACTERP STR::C1) (CHARACTERP STR::C2)) (B* (((MV STR::E1 STR::E2 STR::E3) (STR::B64-ENC2 STR::C1 STR::C2)) ((MV STR::OKP STR::X1 STR::X2) (STR::B64-DEC2 STR::E1 STR::E2 STR::E3))) (AND STR::OKP (EQUAL STR::X1 STR::C1) (EQUAL STR::X2 STR::C2)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC2)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DEC2 (STR::C1 STR::C2 STR::C3) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3)) (LET ((__FUNCTION__ (QUOTE STR::B64-DEC2))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::CODE3 (CHAR-CODE STR::C3)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) (STR::VAL3 (STR::B64-VALUE-FROM-CODE STR::CODE3)) ((UNLESS (AND STR::VAL1 STR::VAL2 STR::VAL3)) (MV NIL #\0 #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) (THE (UNSIGNED-BYTE 8) STR::B2) &) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 STR::VAL3 0)) (STR::CHAR1 (CODE-CHAR STR::B1)) (STR::CHAR2 (CODE-CHAR STR::B2))) (MV T STR::CHAR1 STR::CHAR2)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DEC2 :FN (QUOTE STR::B64-DEC2) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DEC2) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DEC2))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DEC2) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-DEC2.OKP (B* (((MV STR::?OKP STR::?D1 STR::?D2) (STR::B64-DEC2 STR::C1 STR::C2 STR::C3))) (BOOLEANP STR::OKP)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-DEC2.D1 (B* (((MV STR::?OKP STR::?D1 STR::?D2) (STR::B64-DEC2 STR::C1 STR::C2 STR::C3))) (CHARACTERP STR::D1)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-DEC2.D2 (B* (((MV STR::?OKP STR::?D1 STR::?D2) (STR::B64-DEC2 STR::C1 STR::C2 STR::C3))) (CHARACTERP STR::D2)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION))) (DEFTHM STR::B64-DEC2-OF-B64-ENC2 (IMPLIES (AND (CHARACTERP STR::C1) (CHARACTERP STR::C2)) (B* (((MV STR::E1 STR::E2 STR::E3) (STR::B64-ENC2 STR::C1 STR::C2)) ((MV STR::OKP STR::X1 STR::X2) (STR::B64-DEC2 STR::E1 STR::E2 STR::E3))) (AND STR::OKP (EQUAL STR::X1 STR::C1) (EQUAL STR::X2 STR::C2)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC2))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-DEC2)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Decode three base-64 characters to recover 2 arbitrary characters.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DEC2))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is only used to decode the last group of base-64 characters,
when there is exactly one pad.</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-DEC2) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Decode three base-64 characters to recover 2 arbitrary characters.") (:LONG . "<p>This is only used to decode the last group of base-64 characters,
when there is exactly one pad.</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-DEC2|)
@(def |STR|::|RETURN-TYPE-OF-B64-DEC2.OKP|)
@(def |STR|::|RETURN-TYPE-OF-B64-DEC2.D1|)
@(def |STR|::|RETURN-TYPE-OF-B64-DEC2.D2|)
@(def |STR|::|B64-DEC2-OF-B64-ENC2|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-DEC2)))))) (VALUE-TRIPLE (QUOTE STR::B64-DEC2))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-DEC2)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-DEC2) (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D2) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D2) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-DEC2) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-DEC2)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-dec2 c1 c2 c3) → (mv okp d1 d2)</code></dt><dt>Returns</dt><dd><tt>okp</tt> — Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.<br/> <color rgb='#606060'>Type @('(booleanp okp)').</color></dd>
<dd><tt>d1</tt> — <color rgb='#606060'>Type @('(characterp d1)').</color></dd>
<dd><tt>d2</tt> — <color rgb='#606060'>Type @('(characterp d2)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (29 RECORD-EXPANSION (DEFINE STR::B64-DEC1 (STR::C1 STR::C2) (DECLARE (TYPE CHARACTER STR::C1 STR::C2)) :PARENTS (STR::BASE64-IMPL) :SHORT "Decode two base-64 characters to recover 1 arbitrary character." :LONG "<p>This is only used to decode the last group of base-64 characters,
when there are two pads.</p>" :RETURNS (MV (STR::OKP BOOLEANP "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input." :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::D1 CHARACTERP :RULE-CLASSES :TYPE-PRESCRIPTION)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) ((UNLESS (AND STR::VAL1 STR::VAL2)) (MV NIL #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) & &) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 0 0)) (STR::CHAR1 (CODE-CHAR STR::B1))) (MV T STR::CHAR1)) /// (DEFTHM STR::B64-DEC1-OF-B64-ENC1 (IMPLIES (CHARACTERP STR::C1) (B* (((MV STR::E1 STR::E2) (STR::B64-ENC1 STR::C1)) ((MV STR::OKP STR::X1) (STR::B64-DEC1 STR::E1 STR::E2))) (AND STR::OKP (EQUAL STR::X1 STR::C1)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC1))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-DEC1 :PARENTS (STR::BASE64-IMPL) :SHORT "Decode two base-64 characters to recover 1 arbitrary character." :LONG "<p>This is only used to decode the last group of base-64 characters,
when there are two pads.</p>" (DEFUND STR::B64-DEC1 (STR::C1 STR::C2) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2)) (LET ((__FUNCTION__ (QUOTE STR::B64-DEC1))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) ((UNLESS (AND STR::VAL1 STR::VAL2)) (MV NIL #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) & &) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 0 0)) (STR::CHAR1 (CODE-CHAR STR::B1))) (MV T STR::CHAR1)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DEC1 :FN (QUOTE STR::B64-DEC1) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DEC1) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DEC1))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DEC1) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-DEC1-OF-B64-ENC1 (IMPLIES (CHARACTERP STR::C1) (B* (((MV STR::E1 STR::E2) (STR::B64-ENC1 STR::C1)) ((MV STR::OKP STR::X1) (STR::B64-DEC1 STR::E1 STR::E2))) (AND STR::OKP (EQUAL STR::X1 STR::C1)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC1))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DEC1)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DEC1 (STR::C1 STR::C2) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2)) (LET ((__FUNCTION__ (QUOTE STR::B64-DEC1))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) ((UNLESS (AND STR::VAL1 STR::VAL2)) (MV NIL #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) & &) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 0 0)) (STR::CHAR1 (CODE-CHAR STR::B1))) (MV T STR::CHAR1)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DEC1 :FN (QUOTE STR::B64-DEC1) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DEC1) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DEC1))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DEC1) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-DEC1-OF-B64-ENC1 (IMPLIES (CHARACTERP STR::C1) (B* (((MV STR::E1 STR::E2) (STR::B64-ENC1 STR::C1)) ((MV STR::OKP STR::X1) (STR::B64-DEC1 STR::E1 STR::E2))) (AND STR::OKP (EQUAL STR::X1 STR::C1)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC1)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DEC1 (STR::C1 STR::C2) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2)) (LET ((__FUNCTION__ (QUOTE STR::B64-DEC1))) (DECLARE (IGNORABLE __FUNCTION__)) (B* ((STR::CODE1 (CHAR-CODE STR::C1)) (STR::CODE2 (CHAR-CODE STR::C2)) (STR::VAL1 (STR::B64-VALUE-FROM-CODE STR::CODE1)) (STR::VAL2 (STR::B64-VALUE-FROM-CODE STR::CODE2)) ((UNLESS (AND STR::VAL1 STR::VAL2)) (MV NIL #\0)) ((MV (THE (UNSIGNED-BYTE 8) STR::B1) & &) (STR::B64-BYTES-FROM-VALS STR::VAL1 STR::VAL2 0 0)) (STR::CHAR1 (CODE-CHAR STR::B1))) (MV T STR::CHAR1)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DEC1 :FN (QUOTE STR::B64-DEC1) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DEC1) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DEC1))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DEC1) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-DEC1.OKP (B* (((MV STR::?OKP STR::?D1) (STR::B64-DEC1 STR::C1 STR::C2))) (BOOLEANP STR::OKP)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-DEC1.D1 (B* (((MV STR::?OKP STR::?D1) (STR::B64-DEC1 STR::C1 STR::C2))) (CHARACTERP STR::D1)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION))) (DEFTHM STR::B64-DEC1-OF-B64-ENC1 (IMPLIES (CHARACTERP STR::C1) (B* (((MV STR::E1 STR::E2) (STR::B64-ENC1 STR::C1)) ((MV STR::OKP STR::X1) (STR::B64-DEC1 STR::E1 STR::E2))) (AND STR::OKP (EQUAL STR::X1 STR::C1)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC1))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-DEC1)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Decode two base-64 characters to recover 1 arbitrary character.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DEC1))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>This is only used to decode the last group of base-64 characters,
when there are two pads.</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-DEC1) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Decode two base-64 characters to recover 1 arbitrary character.") (:LONG . "<p>This is only used to decode the last group of base-64 characters,
when there are two pads.</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-DEC1|)
@(def |STR|::|RETURN-TYPE-OF-B64-DEC1.OKP|)
@(def |STR|::|RETURN-TYPE-OF-B64-DEC1.D1|)
@(def |STR|::|B64-DEC1-OF-B64-ENC1|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-DEC1)))))) (VALUE-TRIPLE (QUOTE STR::B64-DEC1))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-DEC1)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-DEC1) (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::D1) (DOC . "") (CUTIL::RETURN-TYPE CHARACTERP STR::D1) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-DEC1) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-DEC1)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-dec1 c1 c2) → (mv okp d1)</code></dt><dt>Returns</dt><dd><tt>okp</tt> — Decoding can fail if we encounter non Base-64 alphabetic
characters in the input.<br/> <color rgb='#606060'>Type @('(booleanp okp)').</color></dd>
<dd><tt>d1</tt> — <color rgb='#606060'>Type @('(characterp d1)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (30 RECORD-EXPANSION (DEFINE STR::B64-DECODE-LAST-GROUP (STR::C1 STR::C2 STR::C3 STR::C4) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3 STR::C4)) :RETURNS (MV (STR::OKP BOOLEANP) (STR::ANS CHARACTER-LISTP)) :PARENTS (STR::BASE64-IMPL) :SHORT "Decode the final group of base-64 encoded characters into 1-3 characters." (COND ((NOT (EQL STR::C4 #\=)) (B* (((MV STR::OKP STR::CHAR1 STR::CHAR2 STR::CHAR3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (LIST STR::CHAR1 STR::CHAR2 STR::CHAR3)))) ((NOT (EQL STR::C3 #\=)) (B* (((MV STR::OKP STR::CHAR1 STR::CHAR2) (STR::B64-DEC2 STR::C1 STR::C2 STR::C3))) (MV STR::OKP (LIST STR::CHAR1 STR::CHAR2)))) (T (B* (((MV STR::OKP STR::CHAR1) (STR::B64-DEC1 STR::C1 STR::C2))) (MV STR::OKP (LIST STR::CHAR1))))) /// (LOCAL (DEFTHM STR::L1 (NOT (EQUAL (MV-NTH 3 (STR::B64-ENC3 STR::C1 STR::C2 STR::C3)) #\=)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC3))))) (LOCAL (DEFTHM STR::L2 (NOT (EQUAL (MV-NTH 2 (STR::B64-ENC2 STR::C1 STR::C2)) #\=)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC2))))) (DEFTHM STR::B64-DECODE-LAST-GROUP-OF-B64-ENCODE-LAST-GROUP (IMPLIES (AND (CHARACTER-LISTP X) (CONSP X) (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X)) ((MV STR::OKP STR::RESULT) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (AND STR::OKP (EQUAL STR::RESULT X)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP STR::B64-DECODE-LAST-GROUP))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-DECODE-LAST-GROUP :PARENTS (STR::BASE64-IMPL) :SHORT "Decode the final group of base-64 encoded characters into 1-3 characters." (DEFUND STR::B64-DECODE-LAST-GROUP (STR::C1 STR::C2 STR::C3 STR::C4) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3 STR::C4)) (LET ((__FUNCTION__ (QUOTE STR::B64-DECODE-LAST-GROUP))) (DECLARE (IGNORABLE __FUNCTION__)) (COND ((NOT (EQL STR::C4 #\=)) (B* (((MV STR::OKP STR::CHAR1 STR::CHAR2 STR::CHAR3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (LIST STR::CHAR1 STR::CHAR2 STR::CHAR3)))) ((NOT (EQL STR::C3 #\=)) (B* (((MV STR::OKP STR::CHAR1 STR::CHAR2) (STR::B64-DEC2 STR::C1 STR::C2 STR::C3))) (MV STR::OKP (LIST STR::CHAR1 STR::CHAR2)))) (T (B* (((MV STR::OKP STR::CHAR1) (STR::B64-DEC1 STR::C1 STR::C2))) (MV STR::OKP (LIST STR::CHAR1))))))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DECODE-LAST-GROUP :FN (QUOTE STR::B64-DECODE-LAST-GROUP) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C4) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DECODE-LAST-GROUP) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DECODE-LAST-GROUP))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DECODE-LAST-GROUP) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (LOCAL (DEFTHM STR::L1 (NOT (EQUAL (MV-NTH 3 (STR::B64-ENC3 STR::C1 STR::C2 STR::C3)) #\=)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC3))))) (LOCAL (DEFTHM STR::L2 (NOT (EQUAL (MV-NTH 2 (STR::B64-ENC2 STR::C1 STR::C2)) #\=)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC2))))) (DEFTHM STR::B64-DECODE-LAST-GROUP-OF-B64-ENCODE-LAST-GROUP (IMPLIES (AND (CHARACTER-LISTP X) (CONSP X) (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X)) ((MV STR::OKP STR::RESULT) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (AND STR::OKP (EQUAL STR::RESULT X)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP STR::B64-DECODE-LAST-GROUP))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DECODE-LAST-GROUP)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DECODE-LAST-GROUP (STR::C1 STR::C2 STR::C3 STR::C4) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3 STR::C4)) (LET ((__FUNCTION__ (QUOTE STR::B64-DECODE-LAST-GROUP))) (DECLARE (IGNORABLE __FUNCTION__)) (COND ((NOT (EQL STR::C4 #\=)) (B* (((MV STR::OKP STR::CHAR1 STR::CHAR2 STR::CHAR3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (LIST STR::CHAR1 STR::CHAR2 STR::CHAR3)))) ((NOT (EQL STR::C3 #\=)) (B* (((MV STR::OKP STR::CHAR1 STR::CHAR2) (STR::B64-DEC2 STR::C1 STR::C2 STR::C3))) (MV STR::OKP (LIST STR::CHAR1 STR::CHAR2)))) (T (B* (((MV STR::OKP STR::CHAR1) (STR::B64-DEC1 STR::C1 STR::C2))) (MV STR::OKP (LIST STR::CHAR1))))))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DECODE-LAST-GROUP :FN (QUOTE STR::B64-DECODE-LAST-GROUP) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C4) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DECODE-LAST-GROUP) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DECODE-LAST-GROUP))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DECODE-LAST-GROUP) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (LOCAL (DEFTHM STR::L1 (NOT (EQUAL (MV-NTH 3 (STR::B64-ENC3 STR::C1 STR::C2 STR::C3)) #\=)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC3))))) (LOCAL (DEFTHM STR::L2 (NOT (EQUAL (MV-NTH 2 (STR::B64-ENC2 STR::C1 STR::C2)) #\=)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC2))))) (DEFTHM STR::B64-DECODE-LAST-GROUP-OF-B64-ENCODE-LAST-GROUP (IMPLIES (AND (CHARACTER-LISTP X) (CONSP X) (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X)) ((MV STR::OKP STR::RESULT) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (AND STR::OKP (EQUAL STR::RESULT X)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP STR::B64-DECODE-LAST-GROUP)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DECODE-LAST-GROUP (STR::C1 STR::C2 STR::C3 STR::C4) (DECLARE (XARGS :GUARD T)) (DECLARE (TYPE CHARACTER STR::C1 STR::C2 STR::C3 STR::C4)) (LET ((__FUNCTION__ (QUOTE STR::B64-DECODE-LAST-GROUP))) (DECLARE (IGNORABLE __FUNCTION__)) (COND ((NOT (EQL STR::C4 #\=)) (B* (((MV STR::OKP STR::CHAR1 STR::CHAR2 STR::CHAR3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (LIST STR::CHAR1 STR::CHAR2 STR::CHAR3)))) ((NOT (EQL STR::C3 #\=)) (B* (((MV STR::OKP STR::CHAR1 STR::CHAR2) (STR::B64-DEC2 STR::C1 STR::C2 STR::C3))) (MV STR::OKP (LIST STR::CHAR1 STR::CHAR2)))) (T (B* (((MV STR::OKP STR::CHAR1) (STR::B64-DEC1 STR::C1 STR::C2))) (MV STR::OKP (LIST STR::CHAR1))))))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DECODE-LAST-GROUP :FN (QUOTE STR::B64-DECODE-LAST-GROUP) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C4) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DECODE-LAST-GROUP) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DECODE-LAST-GROUP))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DECODE-LAST-GROUP) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-DECODE-LAST-GROUP.OKP (B* (((MV STR::?OKP STR::?ANS) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (BOOLEANP STR::OKP)) :HINTS NIL :RULE-CLASSES :REWRITE) (DEFTHM STR::RETURN-TYPE-OF-B64-DECODE-LAST-GROUP.ANS (B* (((MV STR::?OKP STR::?ANS) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (CHARACTER-LISTP STR::ANS)) :HINTS NIL :RULE-CLASSES :REWRITE))) (LOCAL (DEFTHM STR::L1 (NOT (EQUAL (MV-NTH 3 (STR::B64-ENC3 STR::C1 STR::C2 STR::C3)) #\=)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC3))))) (LOCAL (DEFTHM STR::L2 (NOT (EQUAL (MV-NTH 2 (STR::B64-ENC2 STR::C1 STR::C2)) #\=)) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENC2))))) (DEFTHM STR::B64-DECODE-LAST-GROUP-OF-B64-ENCODE-LAST-GROUP (IMPLIES (AND (CHARACTER-LISTP X) (CONSP X) (ATOM (CDDDR X))) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP X)) ((MV STR::OKP STR::RESULT) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (AND STR::OKP (EQUAL STR::RESULT X)))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP STR::B64-DECODE-LAST-GROUP))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-DECODE-LAST-GROUP)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Decode the final group of base-64 encoded characters into 1-3 characters.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DECODE-LAST-GROUP))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-DECODE-LAST-GROUP) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Decode the final group of base-64 encoded characters into 1-3 characters.") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-DECODE-LAST-GROUP|)
@(def |STR|::|RETURN-TYPE-OF-B64-DECODE-LAST-GROUP.OKP|)
@(def |STR|::|RETURN-TYPE-OF-B64-DECODE-LAST-GROUP.ANS|)
@(def |STR|::|B64-DECODE-LAST-GROUP-OF-B64-ENCODE-LAST-GROUP|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-DECODE-LAST-GROUP)))))) (VALUE-TRIPLE (QUOTE STR::B64-DECODE-LAST-GROUP))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-DECODE-LAST-GROUP)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-DECODE-LAST-GROUP) (QUOTE ((:FORMAL (CUTIL::NAME . STR::C1) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C2) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C3) (GUARD . T) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::C4) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-DECODE-LAST-GROUP) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-DECODE-LAST-GROUP)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-decode-last-group c1 c2 c3 c4) → (mv okp ans)</code></dt><dt>Returns</dt><dd><tt>okp</tt> — <color rgb='#606060'>Type @('(booleanp okp)').</color></dd>
<dd><tt>ans</tt> — <color rgb='#606060'>Type @('(character-listp ans)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (31 RECORD-EXPANSION (DEFINE STR::B64-DECODE-LIST-IMPL ((X CHARACTER-LISTP) (STR::ACC)) :RETURNS (MV (STR::OKP BOOLEANP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::ACC CHARACTER-LISTP :HYP (CHARACTER-LISTP STR::ACC))) :PARENTS (STR::BASE64-IMPL) :SHORT "Tail-recursive version of @(see base64-decode-list)." (B* (((WHEN (ATOM X)) (MV T STR::ACC)) ((WHEN (ATOM (CDDDR X))) (MV NIL STR::ACC)) (STR::C1 (FIRST X)) (STR::C2 (SECOND X)) (STR::C3 (THIRD X)) (STR::C4 (FOURTH X)) (REST (CDDDDR X)) ((WHEN (ATOM REST)) (B* (((MV STR::OKP LAST) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (REVAPPEND LAST STR::ACC)))) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL STR::ACC)) (STR::ACC (LIST* STR::X3 STR::X2 STR::X1 STR::ACC))) (STR::B64-DECODE-LIST-IMPL (CDDDDR X) STR::ACC))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-DECODE-LIST-IMPL :PARENTS (STR::BASE64-IMPL) :SHORT "Tail-recursive version of @(see base64-decode-list)." (DEFUND STR::B64-DECODE-LIST-IMPL (X STR::ACC) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (LET ((__FUNCTION__ (QUOTE STR::B64-DECODE-LIST-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((WHEN (ATOM X)) (MV T STR::ACC)) ((WHEN (ATOM (CDDDR X))) (MV NIL STR::ACC)) (STR::C1 (FIRST X)) (STR::C2 (SECOND X)) (STR::C3 (THIRD X)) (STR::C4 (FOURTH X)) (REST (CDDDDR X)) ((WHEN (ATOM REST)) (B* (((MV STR::OKP LAST) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (REVAPPEND LAST STR::ACC)))) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL STR::ACC)) (STR::ACC (LIST* STR::X3 STR::X2 STR::X1 STR::ACC))) (STR::B64-DECODE-LIST-IMPL (CDDDDR X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DECODE-LIST-IMPL :FN (QUOTE STR::B64-DECODE-LIST-IMPL) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DECODE-LIST-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DECODE-LIST-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DECODE-LIST-IMPL) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DECODE-LIST-IMPL)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DECODE-LIST-IMPL (X STR::ACC) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (LET ((__FUNCTION__ (QUOTE STR::B64-DECODE-LIST-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((WHEN (ATOM X)) (MV T STR::ACC)) ((WHEN (ATOM (CDDDR X))) (MV NIL STR::ACC)) (STR::C1 (FIRST X)) (STR::C2 (SECOND X)) (STR::C3 (THIRD X)) (STR::C4 (FOURTH X)) (REST (CDDDDR X)) ((WHEN (ATOM REST)) (B* (((MV STR::OKP LAST) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (REVAPPEND LAST STR::ACC)))) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL STR::ACC)) (STR::ACC (LIST* STR::X3 STR::X2 STR::X1 STR::ACC))) (STR::B64-DECODE-LIST-IMPL (CDDDDR X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DECODE-LIST-IMPL :FN (QUOTE STR::B64-DECODE-LIST-IMPL) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DECODE-LIST-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DECODE-LIST-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DECODE-LIST-IMPL) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DECODE-LIST-IMPL (X STR::ACC) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (LET ((__FUNCTION__ (QUOTE STR::B64-DECODE-LIST-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((WHEN (ATOM X)) (MV T STR::ACC)) ((WHEN (ATOM (CDDDR X))) (MV NIL STR::ACC)) (STR::C1 (FIRST X)) (STR::C2 (SECOND X)) (STR::C3 (THIRD X)) (STR::C4 (FOURTH X)) (REST (CDDDDR X)) ((WHEN (ATOM REST)) (B* (((MV STR::OKP LAST) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (REVAPPEND LAST STR::ACC)))) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL STR::ACC)) (STR::ACC (LIST* STR::X3 STR::X2 STR::X1 STR::ACC))) (STR::B64-DECODE-LIST-IMPL (CDDDDR X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DECODE-LIST-IMPL :FN (QUOTE STR::B64-DECODE-LIST-IMPL) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DECODE-LIST-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DECODE-LIST-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DECODE-LIST-IMPL) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-DECODE-LIST-IMPL.OKP (B* (((MV STR::?OKP STR::?ACC) (STR::B64-DECODE-LIST-IMPL X STR::ACC))) (BOOLEANP STR::OKP)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-DECODE-LIST-IMPL.ACC (IMPLIES (CHARACTER-LISTP STR::ACC) (B* (((MV STR::?OKP STR::?ACC) (STR::B64-DECODE-LIST-IMPL X STR::ACC))) (CHARACTER-LISTP STR::ACC))) :HINTS NIL :RULE-CLASSES :REWRITE)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-DECODE-LIST-IMPL)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Tail-recursive version of @(see base64-decode-list).")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DECODE-LIST-IMPL))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-DECODE-LIST-IMPL) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Tail-recursive version of @(see base64-decode-list).") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-DECODE-LIST-IMPL|)
@(def |STR|::|RETURN-TYPE-OF-B64-DECODE-LIST-IMPL.OKP|)
@(def |STR|::|RETURN-TYPE-OF-B64-DECODE-LIST-IMPL.ACC|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-DECODE-LIST-IMPL)))))) (VALUE-TRIPLE (QUOTE STR::B64-DECODE-LIST-IMPL))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-DECODE-LIST-IMPL)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-DECODE-LIST-IMPL) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-DECODE-LIST-IMPL) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-DECODE-LIST-IMPL)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-decode-list-impl x acc) → (mv okp acc)</code></dt><dt>Arguments</dt><dd><tt>x</tt> — <color rgb='#606060'>Guard @('(character-listp x)').</color></dd>
<dt>Returns</dt><dd><tt>okp</tt> — <color rgb='#606060'>Type @('(booleanp okp)').</color></dd>
<dd><tt>acc</tt> — <color rgb='#606060'>Type @('(character-listp acc)'), given @('(character-listp acc)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (32 RECORD-EXPANSION (DEFINE STR::BASE64-DECODE-LIST ((X CHARACTER-LISTP "Character list to decode.")) :RETURNS (MV (STR::OKP BOOLEANP "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding." :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::ANS CHARACTER-LISTP "On success, the decoded version of @('x'). On failure,
it is some nonsensical character list that should not be
relied on.")) :PARENTS (STR::BASE64) :SHORT "Base64 decode a character list." :VERIFY-GUARDS NIL (MBE :LOGIC (B* (((WHEN (ATOM X)) (MV T NIL)) ((WHEN (ATOM (CDDDR X))) (MV NIL NIL)) (STR::C1 (FIRST X)) (STR::C2 (SECOND X)) (STR::C3 (THIRD X)) (STR::C4 (FOURTH X)) (REST (CDDDDR X)) ((WHEN (ATOM REST)) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4)) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL NIL)) ((MV STR::REST-OK STR::REST-ANS) (STR::BASE64-DECODE-LIST (CDDDDR X)))) (MV (AND STR::OKP STR::REST-OK) (LIST* STR::X1 STR::X2 STR::X3 STR::REST-ANS))) :EXEC (B* (((MV STR::OKP STR::ACC) (STR::B64-DECODE-LIST-IMPL X NIL))) (MV STR::OKP (REVERSE STR::ACC)))) /// (LOCAL (IN-THEORY (ENABLE STR::B64-DECODE-LIST-IMPL))) (LOCAL (DEFTHM STR::L0 (EQUAL (MV-NTH 0 (STR::B64-DECODE-LIST-IMPL X STR::ACC)) (MV-NTH 0 (STR::BASE64-DECODE-LIST X))))) (LOCAL (DEFTHM STR::L1 (EQUAL (MV-NTH 1 (STR::B64-DECODE-LIST-IMPL X STR::ACC)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST X)) STR::ACC)))) (DEFTHM STR::B64-DECODE-LIST-IMPL-REMOVAL (EQUAL (STR::B64-DECODE-LIST-IMPL X STR::ACC) (MV (MV-NTH 0 (STR::BASE64-DECODE-LIST X)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST X)) STR::ACC)))) (VERIFY-GUARDS STR::BASE64-DECODE-LIST :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-DECODE-LAST-GROUP)))) (DEFTHM STR::BASE64-DECODE-LIST-OF-BASE64-ENCODE-LIST (IMPLIES (CHARACTER-LISTP X) (B* ((STR::ENCODED (STR::BASE64-ENCODE-LIST X)) ((MV STR::OKP STR::DECODED) (STR::BASE64-DECODE-LIST STR::ENCODED))) (AND STR::OKP (EQUAL STR::DECODED X)))) :HINTS (("Goal" :INDUCT (STR::BASE64-ENCODE-LIST X) :IN-THEORY (ENABLE STR::BASE64-ENCODE-LIST STR::BASE64-DECODE-LIST))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::BASE64-DECODE-LIST :PARENTS (STR::BASE64) :SHORT "Base64 decode a character list." (DEFUND STR::BASE64-DECODE-LIST (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (DECLARE (XARGS :VERIFY-GUARDS NIL)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-DECODE-LIST))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((WHEN (ATOM X)) (MV T NIL)) ((WHEN (ATOM (CDDDR X))) (MV NIL NIL)) (STR::C1 (FIRST X)) (STR::C2 (SECOND X)) (STR::C3 (THIRD X)) (STR::C4 (FOURTH X)) (REST (CDDDDR X)) ((WHEN (ATOM REST)) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4)) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL NIL)) ((MV STR::REST-OK STR::REST-ANS) (STR::BASE64-DECODE-LIST (CDDDDR X)))) (MV (AND STR::OKP STR::REST-OK) (LIST* STR::X1 STR::X2 STR::X3 STR::REST-ANS))) :EXEC (B* (((MV STR::OKP STR::ACC) (STR::B64-DECODE-LIST-IMPL X NIL))) (MV STR::OKP (REVERSE STR::ACC)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-DECODE-LIST :FN (QUOTE STR::BASE64-DECODE-LIST) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical character list that should not be
relied on.") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "Character list to decode.") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-DECODE-LIST) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-DECODE-LIST))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-DECODE-LIST) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical character list that should not be
relied on.") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (LOCAL (IN-THEORY (ENABLE STR::B64-DECODE-LIST-IMPL))) (LOCAL (DEFTHM STR::L0 (EQUAL (MV-NTH 0 (STR::B64-DECODE-LIST-IMPL X STR::ACC)) (MV-NTH 0 (STR::BASE64-DECODE-LIST X))))) (LOCAL (DEFTHM STR::L1 (EQUAL (MV-NTH 1 (STR::B64-DECODE-LIST-IMPL X STR::ACC)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST X)) STR::ACC)))) (DEFTHM STR::B64-DECODE-LIST-IMPL-REMOVAL (EQUAL (STR::B64-DECODE-LIST-IMPL X STR::ACC) (MV (MV-NTH 0 (STR::BASE64-DECODE-LIST X)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST X)) STR::ACC)))) (VERIFY-GUARDS STR::BASE64-DECODE-LIST :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-DECODE-LAST-GROUP)))) (DEFTHM STR::BASE64-DECODE-LIST-OF-BASE64-ENCODE-LIST (IMPLIES (CHARACTER-LISTP X) (B* ((STR::ENCODED (STR::BASE64-ENCODE-LIST X)) ((MV STR::OKP STR::DECODED) (STR::BASE64-DECODE-LIST STR::ENCODED))) (AND STR::OKP (EQUAL STR::DECODED X)))) :HINTS (("Goal" :INDUCT (STR::BASE64-ENCODE-LIST X) :IN-THEORY (ENABLE STR::BASE64-ENCODE-LIST STR::BASE64-DECODE-LIST))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-DECODE-LIST)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::BASE64-DECODE-LIST (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (DECLARE (XARGS :VERIFY-GUARDS NIL)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-DECODE-LIST))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((WHEN (ATOM X)) (MV T NIL)) ((WHEN (ATOM (CDDDR X))) (MV NIL NIL)) (STR::C1 (FIRST X)) (STR::C2 (SECOND X)) (STR::C3 (THIRD X)) (STR::C4 (FOURTH X)) (REST (CDDDDR X)) ((WHEN (ATOM REST)) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4)) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL NIL)) ((MV STR::REST-OK STR::REST-ANS) (STR::BASE64-DECODE-LIST (CDDDDR X)))) (MV (AND STR::OKP STR::REST-OK) (LIST* STR::X1 STR::X2 STR::X3 STR::REST-ANS))) :EXEC (B* (((MV STR::OKP STR::ACC) (STR::B64-DECODE-LIST-IMPL X NIL))) (MV STR::OKP (REVERSE STR::ACC)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-DECODE-LIST :FN (QUOTE STR::BASE64-DECODE-LIST) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical character list that should not be
relied on.") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "Character list to decode.") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-DECODE-LIST) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-DECODE-LIST))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-DECODE-LIST) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical character list that should not be
relied on.") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (LOCAL (IN-THEORY (ENABLE STR::B64-DECODE-LIST-IMPL))) (LOCAL (DEFTHM STR::L0 (EQUAL (MV-NTH 0 (STR::B64-DECODE-LIST-IMPL X STR::ACC)) (MV-NTH 0 (STR::BASE64-DECODE-LIST X))))) (LOCAL (DEFTHM STR::L1 (EQUAL (MV-NTH 1 (STR::B64-DECODE-LIST-IMPL X STR::ACC)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST X)) STR::ACC)))) (DEFTHM STR::B64-DECODE-LIST-IMPL-REMOVAL (EQUAL (STR::B64-DECODE-LIST-IMPL X STR::ACC) (MV (MV-NTH 0 (STR::BASE64-DECODE-LIST X)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST X)) STR::ACC)))) (VERIFY-GUARDS STR::BASE64-DECODE-LIST :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-DECODE-LAST-GROUP)))) (DEFTHM STR::BASE64-DECODE-LIST-OF-BASE64-ENCODE-LIST (IMPLIES (CHARACTER-LISTP X) (B* ((STR::ENCODED (STR::BASE64-ENCODE-LIST X)) ((MV STR::OKP STR::DECODED) (STR::BASE64-DECODE-LIST STR::ENCODED))) (AND STR::OKP (EQUAL STR::DECODED X)))) :HINTS (("Goal" :INDUCT (STR::BASE64-ENCODE-LIST X) :IN-THEORY (ENABLE STR::BASE64-ENCODE-LIST STR::BASE64-DECODE-LIST)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::BASE64-DECODE-LIST (X) (DECLARE (XARGS :GUARD (CHARACTER-LISTP X))) (DECLARE (XARGS :VERIFY-GUARDS NIL)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-DECODE-LIST))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((WHEN (ATOM X)) (MV T NIL)) ((WHEN (ATOM (CDDDR X))) (MV NIL NIL)) (STR::C1 (FIRST X)) (STR::C2 (SECOND X)) (STR::C3 (THIRD X)) (STR::C4 (FOURTH X)) (REST (CDDDDR X)) ((WHEN (ATOM REST)) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4)) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL NIL)) ((MV STR::REST-OK STR::REST-ANS) (STR::BASE64-DECODE-LIST (CDDDDR X)))) (MV (AND STR::OKP STR::REST-OK) (LIST* STR::X1 STR::X2 STR::X3 STR::REST-ANS))) :EXEC (B* (((MV STR::OKP STR::ACC) (STR::B64-DECODE-LIST-IMPL X NIL))) (MV STR::OKP (REVERSE STR::ACC)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-DECODE-LIST :FN (QUOTE STR::BASE64-DECODE-LIST) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical character list that should not be
relied on.") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "Character list to decode.") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-DECODE-LIST) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-DECODE-LIST))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-DECODE-LIST) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical character list that should not be
relied on.") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-BASE64-DECODE-LIST.OKP (B* (((MV STR::?OKP STR::?ANS) (STR::BASE64-DECODE-LIST X))) (BOOLEANP STR::OKP)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-BASE64-DECODE-LIST.ANS (B* (((MV STR::?OKP STR::?ANS) (STR::BASE64-DECODE-LIST X))) (CHARACTER-LISTP STR::ANS)) :HINTS NIL :RULE-CLASSES :REWRITE))) (LOCAL (IN-THEORY (ENABLE STR::B64-DECODE-LIST-IMPL))) (LOCAL (DEFTHM STR::L0 (EQUAL (MV-NTH 0 (STR::B64-DECODE-LIST-IMPL X STR::ACC)) (MV-NTH 0 (STR::BASE64-DECODE-LIST X))))) (LOCAL (DEFTHM STR::L1 (EQUAL (MV-NTH 1 (STR::B64-DECODE-LIST-IMPL X STR::ACC)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST X)) STR::ACC)))) (DEFTHM STR::B64-DECODE-LIST-IMPL-REMOVAL (EQUAL (STR::B64-DECODE-LIST-IMPL X STR::ACC) (MV (MV-NTH 0 (STR::BASE64-DECODE-LIST X)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST X)) STR::ACC)))) (VERIFY-GUARDS STR::BASE64-DECODE-LIST :HINTS (("Goal" :IN-THEORY (ENABLE STR::B64-DECODE-LAST-GROUP)))) (DEFTHM STR::BASE64-DECODE-LIST-OF-BASE64-ENCODE-LIST (IMPLIES (CHARACTER-LISTP X) (B* ((STR::ENCODED (STR::BASE64-ENCODE-LIST X)) ((MV STR::OKP STR::DECODED) (STR::BASE64-DECODE-LIST STR::ENCODED))) (AND STR::OKP (EQUAL STR::DECODED X)))) :HINTS (("Goal" :INDUCT (STR::BASE64-ENCODE-LIST X) :IN-THEORY (ENABLE STR::BASE64-ENCODE-LIST STR::BASE64-DECODE-LIST))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::BASE64-DECODE-LIST)) (XDOC::PARENTS (QUOTE (STR::BASE64))) (XDOC::SHORT (QUOTE "Base64 decode a character list.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-DECODE-LIST))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::BASE64-DECODE-LIST) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64) (:SHORT . "Base64 decode a character list.") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|BASE64-DECODE-LIST|)
@(def |STR|::|RETURN-TYPE-OF-BASE64-DECODE-LIST.OKP|)
@(def |STR|::|RETURN-TYPE-OF-BASE64-DECODE-LIST.ANS|)
@(def |STR|::|B64-DECODE-LIST-IMPL-REMOVAL|)
@(def |STR|::|BASE64-DECODE-LIST-OF-BASE64-ENCODE-LIST|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::BASE64-DECODE-LIST)))))) (VALUE-TRIPLE (QUOTE STR::BASE64-DECODE-LIST))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::BASE64-DECODE-LIST)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::BASE64-DECODE-LIST) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD CHARACTER-LISTP X) (DOC . "Character list to decode.") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical character list that should not be
relied on.") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::BASE64-DECODE-LIST) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::BASE64-DECODE-LIST)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(base64-decode-list x) → (mv okp ans)</code></dt><dt>Arguments</dt><dd><tt>x</tt> — Character list to decode.<br/> <color rgb='#606060'>Guard @('(character-listp x)').</color></dd>
<dt>Returns</dt><dd><tt>okp</tt> — Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.<br/> <color rgb='#606060'>Type @('(booleanp okp)').</color></dd>
<dd><tt>ans</tt> — On success, the decoded version of @('x'). On failure,
it is some nonsensical character list that should not be
relied on.<br/> <color rgb='#606060'>Type @('(character-listp ans)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (34 RECORD-EXPANSION (DEFINE STR::B64-ENCODE-LAST-GROUP-STR ((X STRINGP) (N NATP) (STR::XL (EQL STR::XL (LENGTH X)))) :GUARD (< N STR::XL) :PARENTS (STR::BASE64-IMPL) :SHORT "String-based version of @(see b64-encode-last-group)." (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (INT= STR::LEFT 1)) (B* (((MV STR::C1 STR::C2) (STR::B64-ENC1 (CHAR X N)))) (MV STR::C1 STR::C2 #\= #\=))) ((WHEN (INT= STR::LEFT 2)) (B* (((MV STR::C1 STR::C2 STR::C3) (STR::B64-ENC2 (CHAR X N) (CHAR X (+ 1 N))))) (MV STR::C1 STR::C2 STR::C3 #\=)))) (STR::B64-ENC3 (CHAR X N) (CHAR X (+ 1 N)) (CHAR X (+ 2 N)))) /// (DEFTHM STR::B64-ENCODE-LAST-GROUP-STR-CORRECT (IMPLIES (AND (FORCE (STRINGP X)) (FORCE (NATP N)) (FORCE (EQUAL STR::XL (LENGTH X))) (FORCE (< N STR::XL))) (EQUAL (STR::B64-ENCODE-LAST-GROUP-STR X N STR::XL) (STR::B64-ENCODE-LAST-GROUP (NTHCDR N (EXPLODE X))))) :HINTS (("Goal" :IN-THEORY (E/D (STR::B64-ENCODE-LAST-GROUP CHAR) (NTHCDR NTH)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-ENCODE-LAST-GROUP-STR :PARENTS (STR::BASE64-IMPL) :SHORT "String-based version of @(see b64-encode-last-group)." (DEFUND STR::B64-ENCODE-LAST-GROUP-STR (X N STR::XL) (DECLARE (XARGS :GUARD (AND (STRINGP X) (NATP N) (EQL STR::XL (LENGTH X))))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (DECLARE (XARGS :GUARD (< N STR::XL))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-LAST-GROUP-STR))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (INT= STR::LEFT 1)) (B* (((MV STR::C1 STR::C2) (STR::B64-ENC1 (CHAR X N)))) (MV STR::C1 STR::C2 #\= #\=))) ((WHEN (INT= STR::LEFT 2)) (B* (((MV STR::C1 STR::C2 STR::C3) (STR::B64-ENC2 (CHAR X N) (CHAR X (+ 1 N))))) (MV STR::C1 STR::C2 STR::C3 #\=)))) (STR::B64-ENC3 (CHAR X N) (CHAR X (+ 1 N)) (CHAR X (+ 2 N)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-LAST-GROUP-STR :FN (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP-STR))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-ENCODE-LAST-GROUP-STR-CORRECT (IMPLIES (AND (FORCE (STRINGP X)) (FORCE (NATP N)) (FORCE (EQUAL STR::XL (LENGTH X))) (FORCE (< N STR::XL))) (EQUAL (STR::B64-ENCODE-LAST-GROUP-STR X N STR::XL) (STR::B64-ENCODE-LAST-GROUP (NTHCDR N (EXPLODE X))))) :HINTS (("Goal" :IN-THEORY (E/D (STR::B64-ENCODE-LAST-GROUP CHAR) (NTHCDR NTH)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENCODE-LAST-GROUP-STR)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENCODE-LAST-GROUP-STR (X N STR::XL) (DECLARE (XARGS :GUARD (AND (STRINGP X) (NATP N) (EQL STR::XL (LENGTH X))))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (DECLARE (XARGS :GUARD (< N STR::XL))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-LAST-GROUP-STR))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (INT= STR::LEFT 1)) (B* (((MV STR::C1 STR::C2) (STR::B64-ENC1 (CHAR X N)))) (MV STR::C1 STR::C2 #\= #\=))) ((WHEN (INT= STR::LEFT 2)) (B* (((MV STR::C1 STR::C2 STR::C3) (STR::B64-ENC2 (CHAR X N) (CHAR X (+ 1 N))))) (MV STR::C1 STR::C2 STR::C3 #\=)))) (STR::B64-ENC3 (CHAR X N) (CHAR X (+ 1 N)) (CHAR X (+ 2 N)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-LAST-GROUP-STR :FN (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP-STR))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::B64-ENCODE-LAST-GROUP-STR-CORRECT (IMPLIES (AND (FORCE (STRINGP X)) (FORCE (NATP N)) (FORCE (EQUAL STR::XL (LENGTH X))) (FORCE (< N STR::XL))) (EQUAL (STR::B64-ENCODE-LAST-GROUP-STR X N STR::XL) (STR::B64-ENCODE-LAST-GROUP (NTHCDR N (EXPLODE X))))) :HINTS (("Goal" :IN-THEORY (E/D (STR::B64-ENCODE-LAST-GROUP CHAR) (NTHCDR NTH)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENCODE-LAST-GROUP-STR (X N STR::XL) (DECLARE (XARGS :GUARD (AND (STRINGP X) (NATP N) (EQL STR::XL (LENGTH X))))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (DECLARE (XARGS :GUARD (< N STR::XL))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-LAST-GROUP-STR))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (INT= STR::LEFT 1)) (B* (((MV STR::C1 STR::C2) (STR::B64-ENC1 (CHAR X N)))) (MV STR::C1 STR::C2 #\= #\=))) ((WHEN (INT= STR::LEFT 2)) (B* (((MV STR::C1 STR::C2 STR::C3) (STR::B64-ENC2 (CHAR X N) (CHAR X (+ 1 N))))) (MV STR::C1 STR::C2 STR::C3 #\=)))) (STR::B64-ENC3 (CHAR X N) (CHAR X (+ 1 N)) (CHAR X (+ 2 N)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-LAST-GROUP-STR :FN (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-LAST-GROUP-STR))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN)) (DEFTHM STR::B64-ENCODE-LAST-GROUP-STR-CORRECT (IMPLIES (AND (FORCE (STRINGP X)) (FORCE (NATP N)) (FORCE (EQUAL STR::XL (LENGTH X))) (FORCE (< N STR::XL))) (EQUAL (STR::B64-ENCODE-LAST-GROUP-STR X N STR::XL) (STR::B64-ENCODE-LAST-GROUP (NTHCDR N (EXPLODE X))))) :HINTS (("Goal" :IN-THEORY (E/D (STR::B64-ENCODE-LAST-GROUP CHAR) (NTHCDR NTH)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-ENCODE-LAST-GROUP-STR)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "String-based version of @(see b64-encode-last-group).")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENCODE-LAST-GROUP-STR))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-ENCODE-LAST-GROUP-STR) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "String-based version of @(see b64-encode-last-group).") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-ENCODE-LAST-GROUP-STR|)
@(def |STR|::|B64-ENCODE-LAST-GROUP-STR-CORRECT|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-ENCODE-LAST-GROUP-STR)))))) (VALUE-TRIPLE (QUOTE STR::B64-ENCODE-LAST-GROUP-STR))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-ENCODE-LAST-GROUP-STR)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS)))) (QUOTE NIL) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-ENCODE-LAST-GROUP-STR) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-ENCODE-LAST-GROUP-STR)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-encode-last-group-str x n xl) → (mv * * * *)</code></dt><dt>Arguments</dt><dd><tt>x</tt> — <color rgb='#606060'>Guard @('(stringp x)').</color></dd>
<dd><tt>n</tt> — <color rgb='#606060'>Guard @('(natp n)').</color></dd>
<dd><tt>xl</tt> — <color rgb='#606060'>Guard @('(eql xl (length x))').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (35 RECORD-EXPANSION (DEFINE STR::B64-ENCODE-STR-IMPL ((X STRINGP) (N NATP) (STR::XL (EQL STR::XL (LENGTH X))) (STR::ACC)) :GUARD (<= N STR::XL) :PARENTS (STR::BASE64-IMPL) :SHORT "Efficient, string-based version of @(see b64-encode-list-impl)." :MEASURE (NFIX (- (NFIX STR::XL) (NFIX N))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (ZP STR::LEFT)) STR::ACC) ((WHEN (<= STR::LEFT 3)) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP-STR X N STR::XL))) (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (CHAR X N) (CHAR X (+ 1 N)) (CHAR X (+ 2 N)))) (STR::ACC (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) (STR::B64-ENCODE-STR-IMPL X (+ 3 (LNFIX N)) STR::XL STR::ACC)) /// (LOCAL (DEFTHM STR::L0 (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-ENCODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC))) :HINTS (("Goal" :INDUCT (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) :IN-THEORY (E/D (STR::B64-ENCODE-LIST-IMPL CHAR) (STR::B64-ENCODE-LIST-IMPL-REMOVAL)) :EXPAND ((STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-ENCODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (DEFTHM STR::B64-ENCODE-STR-IMPL-REMOVAL (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (REVAPPEND (STR::BASE64-ENCODE-LIST (NTHCDR N (EXPLODE X))) STR::ACC))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-ENCODE-STR-IMPL))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-ENCODE-STR-IMPL :PARENTS (STR::BASE64-IMPL) :SHORT "Efficient, string-based version of @(see b64-encode-list-impl)." (DEFUND STR::B64-ENCODE-STR-IMPL (X N STR::XL STR::ACC) (DECLARE (XARGS :GUARD (AND (STRINGP X) (NATP N) (EQL STR::XL (LENGTH X))))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (DECLARE (XARGS :MEASURE (NFIX (- (NFIX STR::XL) (NFIX N))) :GUARD (<= N STR::XL))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-STR-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (ZP STR::LEFT)) STR::ACC) ((WHEN (<= STR::LEFT 3)) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP-STR X N STR::XL))) (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (CHAR X N) (CHAR X (+ 1 N)) (CHAR X (+ 2 N)))) (STR::ACC (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) (STR::B64-ENCODE-STR-IMPL X (+ 3 (LNFIX N)) STR::XL STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-STR-IMPL :FN (QUOTE STR::B64-ENCODE-STR-IMPL) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-STR-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-STR-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-STR-IMPL) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (LOCAL (DEFTHM STR::L0 (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-ENCODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC))) :HINTS (("Goal" :INDUCT (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) :IN-THEORY (E/D (STR::B64-ENCODE-LIST-IMPL CHAR) (STR::B64-ENCODE-LIST-IMPL-REMOVAL)) :EXPAND ((STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-ENCODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (DEFTHM STR::B64-ENCODE-STR-IMPL-REMOVAL (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (REVAPPEND (STR::BASE64-ENCODE-LIST (NTHCDR N (EXPLODE X))) STR::ACC))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-ENCODE-STR-IMPL))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENCODE-STR-IMPL)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENCODE-STR-IMPL (X N STR::XL STR::ACC) (DECLARE (XARGS :GUARD (AND (STRINGP X) (NATP N) (EQL STR::XL (LENGTH X))))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (DECLARE (XARGS :MEASURE (NFIX (- (NFIX STR::XL) (NFIX N))) :GUARD (<= N STR::XL))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-STR-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (ZP STR::LEFT)) STR::ACC) ((WHEN (<= STR::LEFT 3)) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP-STR X N STR::XL))) (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (CHAR X N) (CHAR X (+ 1 N)) (CHAR X (+ 2 N)))) (STR::ACC (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) (STR::B64-ENCODE-STR-IMPL X (+ 3 (LNFIX N)) STR::XL STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-STR-IMPL :FN (QUOTE STR::B64-ENCODE-STR-IMPL) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-STR-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-STR-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-STR-IMPL) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (LOCAL (DEFTHM STR::L0 (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-ENCODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC))) :HINTS (("Goal" :INDUCT (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) :IN-THEORY (E/D (STR::B64-ENCODE-LIST-IMPL CHAR) (STR::B64-ENCODE-LIST-IMPL-REMOVAL)) :EXPAND ((STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-ENCODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (DEFTHM STR::B64-ENCODE-STR-IMPL-REMOVAL (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (REVAPPEND (STR::BASE64-ENCODE-LIST (NTHCDR N (EXPLODE X))) STR::ACC))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-ENCODE-STR-IMPL)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-ENCODE-STR-IMPL (X N STR::XL STR::ACC) (DECLARE (XARGS :GUARD (AND (STRINGP X) (NATP N) (EQL STR::XL (LENGTH X))))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (DECLARE (XARGS :MEASURE (NFIX (- (NFIX STR::XL) (NFIX N))) :GUARD (<= N STR::XL))) (LET ((__FUNCTION__ (QUOTE STR::B64-ENCODE-STR-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (ZP STR::LEFT)) STR::ACC) ((WHEN (<= STR::LEFT 3)) (B* (((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENCODE-LAST-GROUP-STR X N STR::XL))) (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) ((MV STR::C1 STR::C2 STR::C3 STR::C4) (STR::B64-ENC3 (CHAR X N) (CHAR X (+ 1 N)) (CHAR X (+ 2 N)))) (STR::ACC (LIST* STR::C4 STR::C3 STR::C2 STR::C1 STR::ACC))) (STR::B64-ENCODE-STR-IMPL X (+ 3 (LNFIX N)) STR::XL STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-ENCODE-STR-IMPL :FN (QUOTE STR::B64-ENCODE-STR-IMPL) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-ENCODE-STR-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-ENCODE-STR-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-ENCODE-STR-IMPL) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN)) (LOCAL (DEFTHM STR::L0 (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-ENCODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC))) :HINTS (("Goal" :INDUCT (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) :IN-THEORY (E/D (STR::B64-ENCODE-LIST-IMPL CHAR) (STR::B64-ENCODE-LIST-IMPL-REMOVAL)) :EXPAND ((STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-ENCODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (DEFTHM STR::B64-ENCODE-STR-IMPL-REMOVAL (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-ENCODE-STR-IMPL X N STR::XL STR::ACC) (REVAPPEND (STR::BASE64-ENCODE-LIST (NTHCDR N (EXPLODE X))) STR::ACC))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-ENCODE-STR-IMPL))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-ENCODE-STR-IMPL)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Efficient, string-based version of @(see b64-encode-list-impl).")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-ENCODE-STR-IMPL))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-ENCODE-STR-IMPL) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Efficient, string-based version of @(see b64-encode-list-impl).") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-ENCODE-STR-IMPL|)
@(def |STR|::|B64-ENCODE-STR-IMPL-REMOVAL|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-ENCODE-STR-IMPL)))))) (VALUE-TRIPLE (QUOTE STR::B64-ENCODE-STR-IMPL))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-ENCODE-STR-IMPL)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-ENCODE-STR-IMPL) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE NIL) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-ENCODE-STR-IMPL) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-ENCODE-STR-IMPL)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-encode-str-impl x n xl acc) → *</code></dt><dt>Arguments</dt><dd><tt>x</tt> — <color rgb='#606060'>Guard @('(stringp x)').</color></dd>
<dd><tt>n</tt> — <color rgb='#606060'>Guard @('(natp n)').</color></dd>
<dd><tt>xl</tt> — <color rgb='#606060'>Guard @('(eql xl (length x))').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (36 RECORD-EXPANSION (DEFINE STR::BASE64-ENCODE ((X STRINGP "String to be encoded.")) :RETURNS (STR::ENCODED STRINGP :RULE-CLASSES :TYPE-PRESCRIPTION "Encoded version of @('x').") :PARENTS (STR::BASE64) :SHORT "Base64 encode a string." (DECLARE (TYPE STRING X)) (MBE :LOGIC (IMPLODE (STR::BASE64-ENCODE-LIST (EXPLODE X))) :EXEC (STR::RCHARS-TO-STRING (STR::B64-ENCODE-STR-IMPL X 0 (LENGTH X) NIL)))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::BASE64-ENCODE :PARENTS (STR::BASE64) :SHORT "Base64 encode a string." (DEFUND STR::BASE64-ENCODE (X) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-ENCODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (IMPLODE (STR::BASE64-ENCODE-LIST (EXPLODE X))) :EXEC (STR::RCHARS-TO-STRING (STR::B64-ENCODE-STR-IMPL X 0 (LENGTH X) NIL))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-ENCODE :FN (QUOTE STR::BASE64-ENCODE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ENCODED) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE STRINGP STR::ENCODED) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be encoded.") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-ENCODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-ENCODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-ENCODE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ENCODED) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE STRINGP STR::ENCODED) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-ENCODE)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::BASE64-ENCODE (X) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-ENCODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (IMPLODE (STR::BASE64-ENCODE-LIST (EXPLODE X))) :EXEC (STR::RCHARS-TO-STRING (STR::B64-ENCODE-STR-IMPL X 0 (LENGTH X) NIL))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-ENCODE :FN (QUOTE STR::BASE64-ENCODE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ENCODED) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE STRINGP STR::ENCODED) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be encoded.") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-ENCODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-ENCODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-ENCODE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ENCODED) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE STRINGP STR::ENCODED) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::BASE64-ENCODE (X) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-ENCODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (IMPLODE (STR::BASE64-ENCODE-LIST (EXPLODE X))) :EXEC (STR::RCHARS-TO-STRING (STR::B64-ENCODE-STR-IMPL X 0 (LENGTH X) NIL))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-ENCODE :FN (QUOTE STR::BASE64-ENCODE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ENCODED) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE STRINGP STR::ENCODED) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be encoded.") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-ENCODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-ENCODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-ENCODE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ENCODED) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE STRINGP STR::ENCODED) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-BASE64-ENCODE (LET ((STR::ENCODED (STR::BASE64-ENCODE X))) (STRINGP STR::ENCODED)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION)))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::BASE64-ENCODE)) (XDOC::PARENTS (QUOTE (STR::BASE64))) (XDOC::SHORT (QUOTE "Base64 encode a string.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-ENCODE))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::BASE64-ENCODE) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64) (:SHORT . "Base64 encode a string.") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|BASE64-ENCODE|)
@(def |STR|::|RETURN-TYPE-OF-BASE64-ENCODE|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::BASE64-ENCODE)))))) (VALUE-TRIPLE (QUOTE STR::BASE64-ENCODE))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::BASE64-ENCODE)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::BASE64-ENCODE) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be encoded.") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::ENCODED) (DOC . "Encoded version of @('x').") (CUTIL::RETURN-TYPE STRINGP STR::ENCODED) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::BASE64-ENCODE) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::BASE64-ENCODE)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(base64-encode x) → encoded</code></dt><dt>Arguments</dt><dd><tt>x</tt> — String to be encoded.<br/> <color rgb='#606060'>Guard @('(stringp x)').</color></dd>
<dt>Returns</dt><dd><tt>encoded</tt> — Encoded version of @('x').<br/> <color rgb='#606060'>Type @('(stringp encoded)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (37 RECORD-EXPANSION (DEFINE STR::BASE64-REVAPPEND-ENCODE ((X STRINGP "String to be encoded.") (STR::ACC "Accumulator for encoded characters (in reverse order).")) :ENABLED T :PARENTS (STR::BASE64) :SHORT "Efficient @('(revappend-chars (base64-encode x) acc)')." :LONG "<p>We leave this enabled; it would be odd to reason about it.</p>" :PREPWORK ((LOCAL (IN-THEORY (ENABLE STR::BASE64-ENCODE STR::REVAPPEND-CHARS)))) (DECLARE (TYPE STRING X)) (MBE :LOGIC (STR::REVAPPEND-CHARS (STR::BASE64-ENCODE X) STR::ACC) :EXEC (STR::B64-ENCODE-STR-IMPL X 0 (LENGTH X) STR::ACC))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::BASE64-REVAPPEND-ENCODE :PARENTS (STR::BASE64) :SHORT "Efficient @('(revappend-chars (base64-encode x) acc)')." :LONG "<p>We leave this enabled; it would be odd to reason about it.</p>" (LOCAL (IN-THEORY (ENABLE STR::BASE64-ENCODE STR::REVAPPEND-CHARS))) (DEFUN STR::BASE64-REVAPPEND-ENCODE (X STR::ACC) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-REVAPPEND-ENCODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (STR::REVAPPEND-CHARS (STR::BASE64-ENCODE X) STR::ACC) :EXEC (STR::B64-ENCODE-STR-IMPL X 0 (LENGTH X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-REVAPPEND-ENCODE :FN (QUOTE STR::BASE64-REVAPPEND-ENCODE) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be encoded.") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "Accumulator for encoded characters (in reverse order).") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-REVAPPEND-ENCODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-REVAPPEND-ENCODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-REVAPPEND-ENCODE) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-REVAPPEND-ENCODE)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (LOCAL (IN-THEORY (ENABLE STR::BASE64-ENCODE STR::REVAPPEND-CHARS))) (DEFUN STR::BASE64-REVAPPEND-ENCODE (X STR::ACC) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-REVAPPEND-ENCODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (STR::REVAPPEND-CHARS (STR::BASE64-ENCODE X) STR::ACC) :EXEC (STR::B64-ENCODE-STR-IMPL X 0 (LENGTH X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-REVAPPEND-ENCODE :FN (QUOTE STR::BASE64-REVAPPEND-ENCODE) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be encoded.") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "Accumulator for encoded characters (in reverse order).") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-REVAPPEND-ENCODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-REVAPPEND-ENCODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-REVAPPEND-ENCODE) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (LOCAL (IN-THEORY (ENABLE STR::BASE64-ENCODE STR::REVAPPEND-CHARS))) (DEFUN STR::BASE64-REVAPPEND-ENCODE (X STR::ACC) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-REVAPPEND-ENCODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (STR::REVAPPEND-CHARS (STR::BASE64-ENCODE X) STR::ACC) :EXEC (STR::B64-ENCODE-STR-IMPL X 0 (LENGTH X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-REVAPPEND-ENCODE :FN (QUOTE STR::BASE64-REVAPPEND-ENCODE) :RETURNS (QUOTE NIL) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be encoded.") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "Accumulator for encoded characters (in reverse order).") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-REVAPPEND-ENCODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-REVAPPEND-ENCODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-REVAPPEND-ENCODE) (QUOTE NIL) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::BASE64-REVAPPEND-ENCODE)) (XDOC::PARENTS (QUOTE (STR::BASE64))) (XDOC::SHORT (QUOTE "Efficient @('(revappend-chars (base64-encode x) acc)').")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-REVAPPEND-ENCODE))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>We leave this enabled; it would be odd to reason about it.</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::BASE64-REVAPPEND-ENCODE) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64) (:SHORT . "Efficient @('(revappend-chars (base64-encode x) acc)').") (:LONG . "<p>We leave this enabled; it would be odd to reason about it.</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|BASE64-REVAPPEND-ENCODE|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::BASE64-REVAPPEND-ENCODE)))))) (VALUE-TRIPLE (QUOTE STR::BASE64-REVAPPEND-ENCODE))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::BASE64-REVAPPEND-ENCODE)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::BASE64-REVAPPEND-ENCODE) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be encoded.") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "Accumulator for encoded characters (in reverse order).") (CUTIL::OPTS)))) (QUOTE NIL) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::BASE64-REVAPPEND-ENCODE) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::BASE64-REVAPPEND-ENCODE)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(base64-revappend-encode x acc) → *</code></dt><dt>Arguments</dt><dd><tt>x</tt> — String to be encoded.<br/> <color rgb='#606060'>Guard @('(stringp x)').</color></dd>
<dd><tt>acc</tt> — Accumulator for encoded characters (in reverse order).</dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (38 RECORD-EXPANSION (DEFINE STR::B64-DECODE-STR-IMPL ((X STRINGP) (N NATP) (STR::XL (EQUAL STR::XL (LENGTH X))) (STR::ACC)) :GUARD (<= N STR::XL) :MEASURE (NFIX (- (NFIX STR::XL) (NFIX N))) :RETURNS (MV (STR::OKP BOOLEANP :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::ACC CHARACTER-LISTP :HYP (CHARACTER-LISTP STR::ACC))) :PARENTS (STR::BASE64-IMPL) :SHORT "Efficient, string-based version of @(see b64-decode-list-impl)." (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (ZP STR::LEFT)) (MV T STR::ACC)) ((WHEN (< STR::LEFT 4)) (MV NIL STR::ACC)) (STR::C1 (CHAR X N)) (STR::C2 (CHAR X (+ 1 N))) (STR::C3 (CHAR X (+ 2 N))) (STR::C4 (CHAR X (+ 3 N))) ((WHEN (INT= STR::LEFT 4)) (B* (((MV STR::OKP LAST) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (REVAPPEND LAST STR::ACC)))) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL STR::ACC)) (STR::ACC (LIST* STR::X3 STR::X2 STR::X1 STR::ACC))) (STR::B64-DECODE-STR-IMPL X (+ 4 (LNFIX N)) STR::XL STR::ACC)) /// (LOCAL (DEFTHM STR::L0 (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-DECODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC))) :HINTS (("Goal" :INDUCT (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) :IN-THEORY (E/D (STR::B64-DECODE-LIST-IMPL CHAR) (STR::B64-DECODE-LIST-IMPL-REMOVAL)) :EXPAND ((STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-DECODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (DEFTHM STR::B64-DECODE-STR-IMPL-REMOVAL (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (LET ((STR::CHARS (NTHCDR N (EXPLODE X)))) (MV (MV-NTH 0 (STR::BASE64-DECODE-LIST STR::CHARS)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST STR::CHARS)) STR::ACC))))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-DECODE-STR-IMPL))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::B64-DECODE-STR-IMPL :PARENTS (STR::BASE64-IMPL) :SHORT "Efficient, string-based version of @(see b64-decode-list-impl)." (DEFUND STR::B64-DECODE-STR-IMPL (X N STR::XL STR::ACC) (DECLARE (XARGS :GUARD (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X))))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (DECLARE (XARGS :MEASURE (NFIX (- (NFIX STR::XL) (NFIX N))) :GUARD (<= N STR::XL))) (LET ((__FUNCTION__ (QUOTE STR::B64-DECODE-STR-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (ZP STR::LEFT)) (MV T STR::ACC)) ((WHEN (< STR::LEFT 4)) (MV NIL STR::ACC)) (STR::C1 (CHAR X N)) (STR::C2 (CHAR X (+ 1 N))) (STR::C3 (CHAR X (+ 2 N))) (STR::C4 (CHAR X (+ 3 N))) ((WHEN (INT= STR::LEFT 4)) (B* (((MV STR::OKP LAST) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (REVAPPEND LAST STR::ACC)))) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL STR::ACC)) (STR::ACC (LIST* STR::X3 STR::X2 STR::X1 STR::ACC))) (STR::B64-DECODE-STR-IMPL X (+ 4 (LNFIX N)) STR::XL STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DECODE-STR-IMPL :FN (QUOTE STR::B64-DECODE-STR-IMPL) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQUAL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DECODE-STR-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DECODE-STR-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DECODE-STR-IMPL) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (LOCAL (DEFTHM STR::L0 (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-DECODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC))) :HINTS (("Goal" :INDUCT (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) :IN-THEORY (E/D (STR::B64-DECODE-LIST-IMPL CHAR) (STR::B64-DECODE-LIST-IMPL-REMOVAL)) :EXPAND ((STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-DECODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (DEFTHM STR::B64-DECODE-STR-IMPL-REMOVAL (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (LET ((STR::CHARS (NTHCDR N (EXPLODE X)))) (MV (MV-NTH 0 (STR::BASE64-DECODE-LIST STR::CHARS)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST STR::CHARS)) STR::ACC))))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-DECODE-STR-IMPL))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DECODE-STR-IMPL)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DECODE-STR-IMPL (X N STR::XL STR::ACC) (DECLARE (XARGS :GUARD (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X))))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (DECLARE (XARGS :MEASURE (NFIX (- (NFIX STR::XL) (NFIX N))) :GUARD (<= N STR::XL))) (LET ((__FUNCTION__ (QUOTE STR::B64-DECODE-STR-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (ZP STR::LEFT)) (MV T STR::ACC)) ((WHEN (< STR::LEFT 4)) (MV NIL STR::ACC)) (STR::C1 (CHAR X N)) (STR::C2 (CHAR X (+ 1 N))) (STR::C3 (CHAR X (+ 2 N))) (STR::C4 (CHAR X (+ 3 N))) ((WHEN (INT= STR::LEFT 4)) (B* (((MV STR::OKP LAST) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (REVAPPEND LAST STR::ACC)))) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL STR::ACC)) (STR::ACC (LIST* STR::X3 STR::X2 STR::X1 STR::ACC))) (STR::B64-DECODE-STR-IMPL X (+ 4 (LNFIX N)) STR::XL STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DECODE-STR-IMPL :FN (QUOTE STR::B64-DECODE-STR-IMPL) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQUAL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DECODE-STR-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DECODE-STR-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DECODE-STR-IMPL) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (LOCAL (DEFTHM STR::L0 (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-DECODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC))) :HINTS (("Goal" :INDUCT (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) :IN-THEORY (E/D (STR::B64-DECODE-LIST-IMPL CHAR) (STR::B64-DECODE-LIST-IMPL-REMOVAL)) :EXPAND ((STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-DECODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (DEFTHM STR::B64-DECODE-STR-IMPL-REMOVAL (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (LET ((STR::CHARS (NTHCDR N (EXPLODE X)))) (MV (MV-NTH 0 (STR::BASE64-DECODE-LIST STR::CHARS)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST STR::CHARS)) STR::ACC))))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-DECODE-STR-IMPL)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::B64-DECODE-STR-IMPL (X N STR::XL STR::ACC) (DECLARE (XARGS :GUARD (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X))))) (DECLARE (TYPE (INTEGER 0 *) N STR::XL) (TYPE STRING X)) (DECLARE (XARGS :MEASURE (NFIX (- (NFIX STR::XL) (NFIX N))) :GUARD (<= N STR::XL))) (LET ((__FUNCTION__ (QUOTE STR::B64-DECODE-STR-IMPL))) (DECLARE (IGNORABLE __FUNCTION__)) (B* (((THE (INTEGER 0 *) STR::LEFT) (MBE :LOGIC (NFIX (- (NFIX STR::XL) (NFIX N))) :EXEC (- STR::XL N))) ((WHEN (ZP STR::LEFT)) (MV T STR::ACC)) ((WHEN (< STR::LEFT 4)) (MV NIL STR::ACC)) (STR::C1 (CHAR X N)) (STR::C2 (CHAR X (+ 1 N))) (STR::C3 (CHAR X (+ 2 N))) (STR::C4 (CHAR X (+ 3 N))) ((WHEN (INT= STR::LEFT 4)) (B* (((MV STR::OKP LAST) (STR::B64-DECODE-LAST-GROUP STR::C1 STR::C2 STR::C3 STR::C4))) (MV STR::OKP (REVAPPEND LAST STR::ACC)))) ((MV STR::OKP STR::X1 STR::X2 STR::X3) (STR::B64-DEC3 STR::C1 STR::C2 STR::C3 STR::C4)) ((UNLESS STR::OKP) (MV NIL STR::ACC)) (STR::ACC (LIST* STR::X3 STR::X2 STR::X1 STR::ACC))) (STR::B64-DECODE-STR-IMPL X (+ 4 (LNFIX N)) STR::XL STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::B64-DECODE-STR-IMPL :FN (QUOTE STR::B64-DECODE-STR-IMPL) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQUAL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::B64-DECODE-STR-IMPL) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::B64-DECODE-STR-IMPL))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::B64-DECODE-STR-IMPL) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-B64-DECODE-STR-IMPL.OKP (B* (((MV STR::?OKP STR::?ACC) (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC))) (BOOLEANP STR::OKP)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-B64-DECODE-STR-IMPL.ACC (IMPLIES (CHARACTER-LISTP STR::ACC) (B* (((MV STR::?OKP STR::?ACC) (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC))) (CHARACTER-LISTP STR::ACC))) :HINTS NIL :RULE-CLASSES :REWRITE))) (LOCAL (DEFTHM STR::L0 (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-DECODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC))) :HINTS (("Goal" :INDUCT (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) :IN-THEORY (E/D (STR::B64-DECODE-LIST-IMPL CHAR) (STR::B64-DECODE-LIST-IMPL-REMOVAL)) :EXPAND ((STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (STR::B64-DECODE-LIST-IMPL (NTHCDR N (EXPLODE X)) STR::ACC)) :DO-NOT (QUOTE (GENERALIZE FERTILIZE)) :DO-NOT-INDUCT T)))) (DEFTHM STR::B64-DECODE-STR-IMPL-REMOVAL (IMPLIES (AND (STRINGP X) (NATP N) (EQUAL STR::XL (LENGTH X)) (<= N STR::XL)) (EQUAL (STR::B64-DECODE-STR-IMPL X N STR::XL STR::ACC) (LET ((STR::CHARS (NTHCDR N (EXPLODE X)))) (MV (MV-NTH 0 (STR::BASE64-DECODE-LIST STR::CHARS)) (REVAPPEND (MV-NTH 1 (STR::BASE64-DECODE-LIST STR::CHARS)) STR::ACC))))) :HINTS (("Goal" :IN-THEORY (DISABLE STR::B64-DECODE-STR-IMPL))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::B64-DECODE-STR-IMPL)) (XDOC::PARENTS (QUOTE (STR::BASE64-IMPL))) (XDOC::SHORT (QUOTE "Efficient, string-based version of @(see b64-decode-list-impl).")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::B64-DECODE-STR-IMPL))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::B64-DECODE-STR-IMPL) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64-IMPL) (:SHORT . "Efficient, string-based version of @(see b64-decode-list-impl).") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|B64-DECODE-STR-IMPL|)
@(def |STR|::|RETURN-TYPE-OF-B64-DECODE-STR-IMPL.OKP|)
@(def |STR|::|RETURN-TYPE-OF-B64-DECODE-STR-IMPL.ACC|)
@(def |STR|::|B64-DECODE-STR-IMPL-REMOVAL|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::B64-DECODE-STR-IMPL)))))) (VALUE-TRIPLE (QUOTE STR::B64-DECODE-STR-IMPL))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::B64-DECODE-STR-IMPL)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::B64-DECODE-STR-IMPL) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . N) (GUARD NATP N) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::XL) (GUARD EQUAL STR::XL (LENGTH X)) (DOC . "") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE CHARACTER-LISTP STR::ACC) (CUTIL::HYP CHARACTER-LISTP STR::ACC) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::B64-DECODE-STR-IMPL) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::B64-DECODE-STR-IMPL)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(b64-decode-str-impl x n xl acc) → (mv okp acc)</code></dt><dt>Arguments</dt><dd><tt>x</tt> — <color rgb='#606060'>Guard @('(stringp x)').</color></dd>
<dd><tt>n</tt> — <color rgb='#606060'>Guard @('(natp n)').</color></dd>
<dd><tt>xl</tt> — <color rgb='#606060'>Guard @('(equal xl (length x))').</color></dd>
<dt>Returns</dt><dd><tt>okp</tt> — <color rgb='#606060'>Type @('(booleanp okp)').</color></dd>
<dd><tt>acc</tt> — <color rgb='#606060'>Type @('(character-listp acc)'), given @('(character-listp acc)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (39 RECORD-EXPANSION (DEFINE STR::BASE64-DECODE ((X STRINGP "String to be decoded.")) :RETURNS (MV (STR::OKP BOOLEANP "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding." :RULE-CLASSES :TYPE-PRESCRIPTION) (STR::ANS STRINGP "On success, the decoded version of @('x'). On failure,
it is some nonsensical string that should not be relied
on." :RULE-CLASSES :TYPE-PRESCRIPTION)) :PARENTS (STR::BASE64) :SHORT "Base64 decode a string." (DECLARE (TYPE STRING X)) (MBE :LOGIC (B* (((MV STR::OKP STR::CHARS) (STR::BASE64-DECODE-LIST (EXPLODE X)))) (MV STR::OKP (IMPLODE STR::CHARS))) :EXEC (B* (((MV STR::OKP STR::RCHARS) (STR::B64-DECODE-STR-IMPL X 0 (LENGTH X) NIL))) (MV STR::OKP (STR::RCHARS-TO-STRING STR::RCHARS)))) /// (DEFTHM STR::BASE64-DECODE-OF-BASE64-ENCODE (EQUAL (STR::BASE64-DECODE (STR::BASE64-ENCODE X)) (MV T (IF (STRINGP X) X ""))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::BASE64-ENCODE STR::BASE64-DECODE))))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::BASE64-DECODE :PARENTS (STR::BASE64) :SHORT "Base64 decode a string." (DEFUND STR::BASE64-DECODE (X) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-DECODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((MV STR::OKP STR::CHARS) (STR::BASE64-DECODE-LIST (EXPLODE X)))) (MV STR::OKP (IMPLODE STR::CHARS))) :EXEC (B* (((MV STR::OKP STR::RCHARS) (STR::B64-DECODE-STR-IMPL X 0 (LENGTH X) NIL))) (MV STR::OKP (STR::RCHARS-TO-STRING STR::RCHARS)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-DECODE :FN (QUOTE STR::BASE64-DECODE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical string that should not be relied
on.") (CUTIL::RETURN-TYPE STRINGP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be decoded.") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-DECODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-DECODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-DECODE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical string that should not be relied
on.") (CUTIL::RETURN-TYPE STRINGP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::BASE64-DECODE-OF-BASE64-ENCODE (EQUAL (STR::BASE64-DECODE (STR::BASE64-ENCODE X)) (MV T (IF (STRINGP X) X ""))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::BASE64-ENCODE STR::BASE64-DECODE))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-DECODE)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::BASE64-DECODE (X) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-DECODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((MV STR::OKP STR::CHARS) (STR::BASE64-DECODE-LIST (EXPLODE X)))) (MV STR::OKP (IMPLODE STR::CHARS))) :EXEC (B* (((MV STR::OKP STR::RCHARS) (STR::B64-DECODE-STR-IMPL X 0 (LENGTH X) NIL))) (MV STR::OKP (STR::RCHARS-TO-STRING STR::RCHARS)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-DECODE :FN (QUOTE STR::BASE64-DECODE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical string that should not be relied
on.") (CUTIL::RETURN-TYPE STRINGP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be decoded.") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-DECODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-DECODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-DECODE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical string that should not be relied
on.") (CUTIL::RETURN-TYPE STRINGP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (DEFTHM STR::BASE64-DECODE-OF-BASE64-ENCODE (EQUAL (STR::BASE64-DECODE (STR::BASE64-ENCODE X)) (MV T (IF (STRINGP X) X ""))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::BASE64-ENCODE STR::BASE64-DECODE)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (DEFUND STR::BASE64-DECODE (X) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-DECODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((MV STR::OKP STR::CHARS) (STR::BASE64-DECODE-LIST (EXPLODE X)))) (MV STR::OKP (IMPLODE STR::CHARS))) :EXEC (B* (((MV STR::OKP STR::RCHARS) (STR::B64-DECODE-STR-IMPL X 0 (LENGTH X) NIL))) (MV STR::OKP (STR::RCHARS-TO-STRING STR::RCHARS)))))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-DECODE :FN (QUOTE STR::BASE64-DECODE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical string that should not be relied
on.") (CUTIL::RETURN-TYPE STRINGP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be decoded.") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-DECODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-DECODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-DECODE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical string that should not be relied
on.") (CUTIL::RETURN-TYPE STRINGP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN (DEFTHM STR::RETURN-TYPE-OF-BASE64-DECODE.OKP (B* (((MV STR::?OKP STR::?ANS) (STR::BASE64-DECODE X))) (BOOLEANP STR::OKP)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION) (DEFTHM STR::RETURN-TYPE-OF-BASE64-DECODE.ANS (B* (((MV STR::?OKP STR::?ANS) (STR::BASE64-DECODE X))) (STRINGP STR::ANS)) :HINTS NIL :RULE-CLASSES :TYPE-PRESCRIPTION))) (DEFTHM STR::BASE64-DECODE-OF-BASE64-ENCODE (EQUAL (STR::BASE64-DECODE (STR::BASE64-ENCODE X)) (MV T (IF (STRINGP X) X ""))) :HINTS (("Goal" :IN-THEORY (ENABLE STR::BASE64-ENCODE STR::BASE64-DECODE))))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::BASE64-DECODE)) (XDOC::PARENTS (QUOTE (STR::BASE64))) (XDOC::SHORT (QUOTE "Base64 decode a string.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-DECODE))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::BASE64-DECODE) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64) (:SHORT . "Base64 decode a string.") (:LONG . "
<h3>Definitions and Theorems</h3>@(def |STR|::|BASE64-DECODE|)
@(def |STR|::|RETURN-TYPE-OF-BASE64-DECODE.OKP|)
@(def |STR|::|RETURN-TYPE-OF-BASE64-DECODE.ANS|)
@(def |STR|::|BASE64-DECODE-OF-BASE64-ENCODE|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::BASE64-DECODE)))))) (VALUE-TRIPLE (QUOTE STR::BASE64-DECODE))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::BASE64-DECODE)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::BASE64-DECODE) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be decoded.") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.") (CUTIL::RETURN-TYPE BOOLEANP STR::OKP) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)) (:RETURN-SPEC (CUTIL::NAME . STR::ANS) (DOC . "On success, the decoded version of @('x'). On failure,
it is some nonsensical string that should not be relied
on.") (CUTIL::RETURN-TYPE STRINGP STR::ANS) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :TYPE-PRESCRIPTION)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::BASE64-DECODE) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::BASE64-DECODE)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(base64-decode x) → (mv okp ans)</code></dt><dt>Arguments</dt><dd><tt>x</tt> — String to be decoded.<br/> <color rgb='#606060'>Guard @('(stringp x)').</color></dd>
<dt>Returns</dt><dd><tt>okp</tt> — Was decoding successful? It can fail if we encounter non
Base-64 alphabetic characters in the input, or if the
input is not of the proper length (a multiple of 4), or if
there is incorrect padding.<br/> <color rgb='#606060'>Type @('(booleanp okp)').</color></dd>
<dd><tt>ans</tt> — On success, the decoded version of @('x'). On failure,
it is some nonsensical string that should not be relied
on.<br/> <color rgb='#606060'>Type @('(stringp ans)').</color></dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (40 RECORD-EXPANSION (DEFINE STR::BASE64-REVAPPEND-DECODE ((X STRINGP "String to be decoded.") (STR::ACC "Accumulator for decoded characters (in reverse order).")) :RETURNS (MV (STR::OKP "Was decoding successful?") (STR::ACC)) :ENABLED T :PARENTS (STR::BASE64) :SHORT "Efficiently revappend the characters from @(see base64-decode) onto
an accumulator." :LONG "<p>We leave this enabled; it would be odd to reason about it.</p>" :PREPWORK ((LOCAL (IN-THEORY (ENABLE STR::BASE64-DECODE STR::REVAPPEND-CHARS)))) :GUARD-DEBUG T (DECLARE (TYPE STRING X)) (MBE :LOGIC (B* (((MV STR::OKP STR) (STR::BASE64-DECODE X))) (MV STR::OKP (STR::REVAPPEND-CHARS STR STR::ACC))) :EXEC (STR::B64-DECODE-STR-IMPL X 0 (LENGTH X) STR::ACC))) (PROGN (RECORD-EXPANSION (DEFSECTION STR::BASE64-REVAPPEND-DECODE :PARENTS (STR::BASE64) :SHORT "Efficiently revappend the characters from @(see base64-decode) onto
an accumulator." :LONG "<p>We leave this enabled; it would be odd to reason about it.</p>" (LOCAL (IN-THEORY (ENABLE STR::BASE64-DECODE STR::REVAPPEND-CHARS))) (DEFUN STR::BASE64-REVAPPEND-DECODE (X STR::ACC) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (DECLARE (XARGS :GUARD-DEBUG T)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-REVAPPEND-DECODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((MV STR::OKP STR) (STR::BASE64-DECODE X))) (MV STR::OKP (STR::REVAPPEND-CHARS STR STR::ACC))) :EXEC (STR::B64-DECODE-STR-IMPL X 0 (LENGTH X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-REVAPPEND-DECODE :FN (QUOTE STR::BASE64-REVAPPEND-DECODE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful?") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be decoded.") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "Accumulator for decoded characters (in reverse order).") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-REVAPPEND-DECODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-REVAPPEND-DECODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-REVAPPEND-DECODE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful?") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS))))) (WITH-OUTPUT :STACK :PUSH :OFF :ALL :ON ERROR (PROGN (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-REVAPPEND-DECODE)) (RECORD-EXPANSION (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (LOCAL (IN-THEORY (ENABLE STR::BASE64-DECODE STR::REVAPPEND-CHARS))) (DEFUN STR::BASE64-REVAPPEND-DECODE (X STR::ACC) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (DECLARE (XARGS :GUARD-DEBUG T)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-REVAPPEND-DECODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((MV STR::OKP STR) (STR::BASE64-DECODE X))) (MV STR::OKP (STR::REVAPPEND-CHARS STR STR::ACC))) :EXEC (STR::B64-DECODE-STR-IMPL X 0 (LENGTH X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-REVAPPEND-DECODE :FN (QUOTE STR::BASE64-REVAPPEND-DECODE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful?") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be decoded.") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "Accumulator for decoded characters (in reverse order).") (CUTIL::OPTS))))) (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-REVAPPEND-DECODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-REVAPPEND-DECODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-REVAPPEND-DECODE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful?") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))))) (WITH-OUTPUT :STACK :POP (ENCAPSULATE NIL (VALUE-TRIPLE :INVISIBLE) (LOCAL (IN-THEORY (ENABLE STR::BASE64-DECODE STR::REVAPPEND-CHARS))) (DEFUN STR::BASE64-REVAPPEND-DECODE (X STR::ACC) (DECLARE (XARGS :GUARD (STRINGP X))) (DECLARE (TYPE STRING X)) (DECLARE (XARGS :GUARD-DEBUG T)) (LET ((__FUNCTION__ (QUOTE STR::BASE64-REVAPPEND-DECODE))) (DECLARE (IGNORABLE __FUNCTION__)) (MBE :LOGIC (B* (((MV STR::OKP STR) (STR::BASE64-DECODE X))) (MV STR::OKP (STR::REVAPPEND-CHARS STR STR::ACC))) :EXEC (STR::B64-DECODE-STR-IMPL X 0 (LENGTH X) STR::ACC)))) (CUTIL::EXTEND-DEFINE-TABLE STR::BASE64-REVAPPEND-DECODE :FN (QUOTE STR::BASE64-REVAPPEND-DECODE) :RETURNS (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful?") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) :FORMALS (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be decoded.") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "Accumulator for decoded characters (in reverse order).") (CUTIL::OPTS))))) (RECORD-EXPANSION (LOCAL (MAKE-EVENT (IF (CUTIL::LOGIC-MODE-P (QUOTE STR::BASE64-REVAPPEND-DECODE) (W STATE)) (QUOTE (IN-THEORY (ENABLE STR::BASE64-REVAPPEND-DECODE))) (QUOTE (VALUE-TRIPLE :INVISIBLE))))) (LOCAL (VALUE-TRIPLE :ELIDED))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((WORLD (W STATE)) (CUTIL::EVENTS (CUTIL::RETURNSPEC-THMS (QUOTE STR::BASE64-REVAPPEND-DECODE) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful?") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) WORLD))) (VALUE (CONS (QUOTE PROGN) CUTIL::EVENTS)))) (PROGN))))) (RECORD-EXPANSION (MAKE-EVENT (LET* ((XDOC::NAME (QUOTE STR::BASE64-REVAPPEND-DECODE)) (XDOC::PARENTS (QUOTE (STR::BASE64))) (XDOC::SHORT (QUOTE "Efficiently revappend the characters from @(see base64-decode) onto
an accumulator.")) (XDOC::EXTENSION (QUOTE NIL)) (XDOC::WRLD (W STATE)) (XDOC::TRIPS (REVERSED-WORLD-SINCE-EVENT XDOC::WRLD (QUOTE (TABLE INTRO-TABLE :MARK (QUOTE STR::BASE64-REVAPPEND-DECODE))) NIL)) (XDOC::INFO (REVERSE (NEW-FORMULA-INFO XDOC::TRIPS XDOC::WRLD NIL))) (XDOC::AUTODOC (XDOC::FORMULA-INFO-TO-DEFS (NOT XDOC::EXTENSION) XDOC::INFO)) (XDOC::LONG (CONCATENATE (QUOTE STRING) (QUOTE "<p>We leave this enabled; it would be odd to reason about it.</p>") (COERCE (LIST #\Newline #\Newline) (QUOTE STRING)) XDOC::AUTODOC))) (IF XDOC::EXTENSION (CONS (QUOTE XDOC-EXTEND) (CONS XDOC::EXTENSION (CONS XDOC::LONG (QUOTE NIL)))) (CONS (QUOTE DEFXDOC) (CONS XDOC::NAME (CONS (QUOTE :PARENTS) (CONS XDOC::PARENTS (CONS (QUOTE :SHORT) (CONS XDOC::SHORT (CONS (QUOTE :LONG) (CONS XDOC::LONG (QUOTE NIL)))))))))))) (WITH-OUTPUT :OFF (EVENT SUMMARY) (PROGN (TABLE XDOC (QUOTE DOC) (CONS (QUOTE ((:NAME . STR::BASE64-REVAPPEND-DECODE) (:BASE-PKG . STR::ACL2-PKG-WITNESS) (:PARENTS STR::BASE64) (:SHORT . "Efficiently revappend the characters from @(see base64-decode) onto
an accumulator.") (:LONG . "<p>We leave this enabled; it would be odd to reason about it.</p>
<h3>Definitions and Theorems</h3>@(def |STR|::|BASE64-REVAPPEND-DECODE|)") (:FROM . "[books]/str/base64.lisp"))) (XDOC::GET-XDOC-TABLE WORLD))) (VALUE-TRIPLE (QUOTE (DEFXDOC STR::BASE64-REVAPPEND-DECODE)))))) (VALUE-TRIPLE (QUOTE STR::BASE64-REVAPPEND-DECODE))))) (RECORD-EXPANSION (MAKE-EVENT (B* ((CUTIL::CURRENT-PKG (F-GET-GLOBAL (QUOTE CURRENT-PACKAGE) STATE)) (CUTIL::BASE-PKG (PKG-WITNESS CUTIL::CURRENT-PKG)) (CUTIL::FNNAME (QUOTE STR::BASE64-REVAPPEND-DECODE)) ((MV CUTIL::STR STATE) (CUTIL::MAKE-XDOC-TOP CUTIL::FNNAME (QUOTE STR::BASE64-REVAPPEND-DECODE) (QUOTE ((:FORMAL (CUTIL::NAME . X) (GUARD STRINGP X) (DOC . "String to be decoded.") (CUTIL::OPTS)) (:FORMAL (CUTIL::NAME . STR::ACC) (GUARD . T) (DOC . "Accumulator for decoded characters (in reverse order).") (CUTIL::OPTS)))) (QUOTE ((:RETURN-SPEC (CUTIL::NAME . STR::OKP) (DOC . "Was decoding successful?") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)) (:RETURN-SPEC (CUTIL::NAME . STR::ACC) (DOC . "") (CUTIL::RETURN-TYPE . T) (CUTIL::HYP . T) (CUTIL::HINTS) (CUTIL::RULE-CLASSES . :REWRITE)))) CUTIL::BASE-PKG STATE)) (EVENT (LIST (QUOTE XDOC::XDOC-PREPEND) CUTIL::FNNAME CUTIL::STR))) (VALUE EVENT))) (TABLE XDOC (QUOTE DOC) (LET* ((XDOC::ALL-TOPICS (XDOC::GET-XDOC-TABLE WORLD)) (XDOC::OLD-TOPIC (XDOC::FIND-TOPIC (QUOTE STR::BASE64-REVAPPEND-DECODE) XDOC::ALL-TOPICS))) (COND ((NOT XDOC::OLD-TOPIC) (PROG2$ (CW "XDOC WARNING: Ignoring attempt to prepend to topic ~x0, ~
because no such topic is currently defined.~%" (QUOTE STR::BASE64-REVAPPEND-DECODE)) XDOC::ALL-TOPICS)) (T (LET* ((XDOC::OTHER-TOPICS (REMOVE-EQUAL XDOC::OLD-TOPIC XDOC::ALL-TOPICS)) (XDOC::OLD-LONG (CDR (ASSOC :LONG XDOC::OLD-TOPIC))) (XDOC::NEW-LONG (CONCATENATE (QUOTE STRING) "<box><dl>
<dt>Signature</dt><dt><code>(base64-revappend-decode x acc) → (mv okp acc)</code></dt><dt>Arguments</dt><dd><tt>x</tt> — String to be decoded.<br/> <color rgb='#606060'>Guard @('(stringp x)').</color></dd>
<dd><tt>acc</tt> — Accumulator for decoded characters (in reverse order).</dd>
<dt>Returns</dt><dd><tt>okp</tt> — Was decoding successful?.</dd>
</dl></box>
" XDOC::OLD-LONG)) (XDOC::NEW-TOPIC (ACONS :LONG XDOC::NEW-LONG (DELETE-ASSOC :LONG XDOC::OLD-TOPIC)))) (CONS XDOC::NEW-TOPIC XDOC::OTHER-TOPICS))))))))) (41 RECORD-EXPANSION (LOCAL (PROGN (ASSERT! (EQUAL (STR::BASE64-ENCODE "") "")) (ASSERT! (EQUAL (STR::BASE64-ENCODE "f") "Zg==")) (ASSERT! (EQUAL (STR::BASE64-ENCODE "fo") "Zm8=")) (ASSERT! (EQUAL (STR::BASE64-ENCODE "foo") "Zm9v")) (ASSERT! (EQUAL (STR::BASE64-ENCODE "foob") "Zm9vYg==")) (ASSERT! (EQUAL (STR::BASE64-ENCODE "fooba") "Zm9vYmE=")) (ASSERT! (EQUAL (STR::BASE64-ENCODE "foobar") "Zm9vYmFy")) (DEFINE STR::BASE64-DECODE-EASY ((X STRINGP)) (B* (((MV STR::OK STR::ORIG) (STR::BASE64-DECODE X)) ((UNLESS STR::OK) (RAISE "Whoops") "")) STR::ORIG)) (ASSERT! (EQUAL "" (STR::BASE64-DECODE-EASY ""))) (ASSERT! (EQUAL "f" (STR::BASE64-DECODE-EASY "Zg=="))) (ASSERT! (EQUAL "fo" (STR::BASE64-DECODE-EASY "Zm8="))) (ASSERT! (EQUAL "foo" (STR::BASE64-DECODE-EASY "Zm9v"))) (ASSERT! (EQUAL "foob" (STR::BASE64-DECODE-EASY "Zm9vYg=="))) (ASSERT! (EQUAL "fooba" (STR::BASE64-DECODE-EASY "Zm9vYmE="))) (ASSERT! (EQUAL "foobar" (STR::BASE64-DECODE-EASY "Zm9vYmFy"))))) (LOCAL (VALUE-TRIPLE :ELIDED))))
(("/usr/share/acl2-6.3/books/cutil/portcullis.lisp" "cutil/portcullis" "portcullis" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1188104018) ("/usr/share/acl2-6.3/books/std/osets/portcullis.lisp" "std/osets/portcullis" "portcullis" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1689687557) ("/usr/share/acl2-6.3/books/xdoc/portcullis.lisp" "xdoc/portcullis" "portcullis" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1473208573) ("/usr/share/acl2-6.3/books/str/portcullis.lisp" "portcullis" "portcullis" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 2077071243))
(("/usr/share/acl2-6.3/books/str/base64.lisp" "base64" "base64" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1053493797) (LOCAL ("/usr/share/acl2-6.3/books/centaur/bitops/equal-by-logbitp.lisp" "centaur/bitops/equal-by-logbitp" "equal-by-logbitp" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 762887823)) (LOCAL ("/usr/share/acl2-6.3/books/centaur/bitops/integer-length.lisp" "integer-length" "integer-length" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1290318426)) (LOCAL ("/usr/share/acl2-6.3/books/ihs/logops-definitions.lisp" "ihs/logops-definitions" "logops-definitions" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 2048680937)) (LOCAL ("/usr/share/acl2-6.3/books/clause-processors/witness-cp.lisp" "clause-processors/witness-cp" "witness-cp" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1235952189)) (LOCAL ("/usr/share/acl2-6.3/books/clause-processors/unify-subst.lisp" "unify-subst" "unify-subst" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 152550313)) (LOCAL ("/usr/share/acl2-6.3/books/clause-processors/magic-ev.lisp" "magic-ev" "magic-ev" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1755613759)) (LOCAL ("/usr/share/acl2-6.3/books/data-structures/no-duplicates.lisp" "data-structures/no-duplicates" "no-duplicates" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1033846539)) (LOCAL ("/usr/share/acl2-6.3/books/clause-processors/ev-theoremp.lisp" "ev-theoremp" "ev-theoremp" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1121551825)) (LOCAL ("/usr/share/acl2-6.3/books/clause-processors/generalize.lisp" "generalize" "generalize" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1473670664)) (LOCAL ("/usr/share/acl2-6.3/books/data-structures/list-theory.lisp" "data-structures/list-theory" "list-theory" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 2002652919)) (LOCAL ("/usr/share/acl2-6.3/books/data-structures/deflist.lisp" "deflist" "deflist" ((:SKIPPED-PROOFSP) (:AXIOMSP) (:TTAGS)) . 1768935129)) (LOCAL ("/usr/share/acl2-6.3/books/data-structures/utilities.lisp" 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